Name: ________________________ Class: ___________________ Date: __________
ID: A
Geometry SIA #3 Practice Exam
Short Answer
1. Which point is the midpoint of AE ?
2. Find the midpoint of PQ.
3. Find the coordinates of the midpoint of the segment whose endpoints are H(2, 13) and K(8, 9).
4. M is the midpoint of CF for the points C(2, 2) and F(10, 8). Find MF.
5. M(4, 2) is the midpoint of RS . The coordinates of S are (5, 1). What are the coordinates of R?
6. T(4, 8) is the midpoint of CD. The coordinates of D are (4, 12). What are the coordinates of C?
7. Find the distance between points P(3, 4) and Q(2, 6) to the nearest tenth.
8. The Frostburg-Truth bus travels from Frostburg Mall through the city’s center to Sojourner Truth Park. The mall is 3 miles west and 5 miles south of the city’s center. Truth Park is 4 miles east and 3 miles north of the city’s center. How far is it from Truth Park to the mall to the nearest tenth of a mile?
9. A high school soccer team is going to Columbus, Ohio to see a professional soccer game. A coordinate grid is superimposed on a highway map of Ohio. The high school is at point (3, 4) and the stadium in Columbus is at point (7, 1). The map shows a highway rest stop halfway between the cities. What are the coordinates of the rest stop? What is the approximate distance between the high school and the stadium? (One unit  5.9 miles.)
1
Name: ________________________
ID: A
10. Find the perimeter of the rectangle. The drawing is not to scale.
11. Andrew is adding a ribbon border to the edge of his kite. Two sides of the kite measure 6.6 inches, while the other two sides measure 14.3 inches. How much ribbon does Andrew need?
12. Bryan wants to put a fence around his rectangular garden. His garden measures 38 feet by 43 feet. The garden has a path around it that is 3 feet wide. How much fencing material does Bryan need to enclose the garden and path?
13. Find the circumference of the circle to the nearest tenth. Use 3.14 for .
14. Find the circumference of the circle in terms of .
2
Name: ________________________
ID: A
15. Find the perimeter of ABC with vertices A(–3, 0), B(5, 0), and C(–3, 6).
16. Find the perimeter of parallelogram ABCD with vertices A(–2, 2), B(4, 2), C(–6, –1), and D(0, –1).
17. If the perimeter of a square is 152 inches, what is its area?
18. Find the area of a rectangle with base of 4 yd and a height of 5 ft.
3
Name: ________________________
ID: A
19. Find the area of the circle in terms of .
20. Find the area of the circle  to the nearest tenth. Use 3.14 for . 21. Find, to the nearest tenth, the area of the region that is inside the square and outside the circle. The circle has a diameter of 6 inches.
22. The figure is formed from rectangles. Find the total area. The diagram is not to scale.
4
Name: ________________________
ID: A
23. Write an expression that gives the area of the shaded region in the figure below. You do not have to evaluate the expression. The diagram is not to scale.
24. What is the slope of the line shown?
25. What is the slope of the line shown?
5
Name: ________________________
ID: A
26. What is the slope of the line shown?
27. What is an equation in slope-intercept form for the line given?
28. Write the equation for the vertical line that contains point E(5, –4).
29. Write the equation for the horizontal line that contains point G(–3, 4).
30. Is the line through points P(–2, –4) and Q(7, 3) parallel to the line through points R(–1, 0) and S(4, 3)? Explain.
31. What is the equation in point-slope form for the line parallel to y = 6x + 9 that contains P(–8, –5)?
32. What is the equation in point-slope form for the line parallel to y = –2x + 12 that contains J(–6, 3)?
33. What is an equation in point-slope form for the line perpendicular to y = 2x + 10 that contains (–6, 3)?
34. Is TVS scalene, isosceles, or equilateral? The vertices are T(1,1), V(4,0), and S(2,4).
6
Name: ________________________
ID: A
35. A quadrilateral has vertices (5, 3), (5,  1), (1, 3), and (1,  1). What special quadrilateral is formed by connecting the midpoints of the sides?
36. In the coordinate plane, three vertices of rectangle PQRS are P(0, 0), Q(0, b), and S(c, 0). What are the coordinates of point R?
37. The vertices of the trapezoid are the origin along with A(4 p, 4q), B(4r, 4q), and C(4s, 0). Find the midpoint of the midsegment of the trapezoid.
38. What are the minor arcs of O?
39. What are the major arcs of O that contain point B?
7
Name: ________________________
ID: A
40. Find the measure of EDC .
The figure is not drawn to scale.
Find the circumference. Leave your answer in terms of  .
41. 42. 43. The circumference of a circle is 78 cm. Find the diameter, the radius, and the length of an arc of 190°.
44. Find the length of XPY . Leave your answer in terms of  .
8
Name: ________________________
ID: A
Find the area of the circle. Leave your answer in terms of  .
45. 46. 47. A team in science class placed a chalk mark on the side of a wheel and rolled the wheel in a straight line until the chalk mark returned to the same position. The team then measured the distance the wheel had rolled and found it to be 30 cm. To the nearest tenth, what is the area of the wheel?
48. Find the area of the figure to the nearest tenth.
49. Find the area of a sector with a central angle of 190° and a diameter of 7.3 cm. Round to the nearest tenth.
9
Name: ________________________
ID: A
50. The area of sector AOB is 72.25 ft 2 . Find the exact area of the shaded region.
51. Find the probability that a point chosen at random from JP is on the segment KO .
52. Lenny’s favorite radio station has this hourly schedule: news 13 min, commercials 2 min, music 45 min. If Lenny chooses a time of day at random to turn on the radio to his favorite station, what is the probability that he will hear the news?
53. The delivery van arrives at an office every day between 3 PM and 5 PM. The office doors were locked between 3:20 PM and 3:45 PM. What is the probability that the doors were unlocked when the delivery van arrived?
54. Find the probability that a point chosen at random will lie in the shaded area.
10
Name: ________________________
ID: A
55. Use Euler’s Formula to find the missing number.
Faces: 22
Vertices: 12
Edges: ? 56. Use Euler’s Formula to find the missing number.
Vertices: 14
Edges: 29
Faces: ? 57. Use Euler’s Formula to find the missing number.
Edges: 33
Faces: 18
Vertices: ? 58. Mario’s company makes unusually shaped imitation gemstones. One gemstone had 11 faces and 11 vertices. How many edges did the gemstone have?
Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x.
(Figures are not drawn to scale.)
59. mO  152
60. mP  24
11
Name: ________________________


ID: A





In the figure, PA and PB are tangent to circle O and PD bisects BPA. The figure is not drawn to scale.
61. For mAOC = 65, find mPOB.
62. For mAOC = 44, find mBPO.
63. AB is tangent to O. If AO  12 and BC  25 , what is AB?
The diagram is not to scale.
12
Name: ________________________
ID: A
64. A satellite is 6,600 miles from the horizon of Earth. Earth’s radius is about 4,000 miles. Find the approximate distance the satellite is from the Earth’s surface.
The diagram is not to scale.
65. BC is tangent to circle A at B and to circle D at C (not drawn to scale). AB = 8, BC = 17, and DC = 7. Find AD to the nearest tenth.
66. A chain fits tightly around two gears as shown. The distance between the centers of the gears is 27 inches. The radius of the larger gear is 20 inches. Find the radius of the smaller gear. Round your answer to the nearest tenth, if necessary. The diagram is not to scale.
13
Name: ________________________
ID: A
67. AB is tangent to circle O at B. Find the length of the radius r for AB = 7 and AO = 10.3. Round to the nearest tenth if necessary. The diagram is not to scale.
68. Pentagon RSTUV is circumscribed about a circle. Solve for x for RS = 8, ST = 15, TU = 13, UV = 9, and VR = 10. The figure is not drawn to scale.
69. JK , KL, and LJ are all tangent to O (not drawn to scale). JA = 5, AL = 14, and CK = 11. Find the perimeter of JKL.
14
Name: ________________________
70. NA  PA , MO  NA, RO  PA , MO = 7 ft
What is PO?
71. BZ  FZ , BZ  CA, FZ  DC , DF = 24 in.
What is BC?
ID: A
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.
72. 15
Name: ________________________
ID: A
73. 74. 75. FG  OP , RS  OQ , FG = 37, RS = 22, OP = 12
16
Name: ________________________
ID: A
Use the diagram. AB is a diameter, and AB  CD. The figure is not drawn to scale.
76. Find m BD for m AC = 49.
77. WZ and XR are diameters. Find the measure of ZWX . (The figure is not drawn to scale.)
17
Name: ________________________
ID: A
78. The radius of circle O is 27, and OC = 5. Find AB. Round to the nearest tenth, if necessary. (The figure is not drawn to scale.)
79. Find the measure of BAC. (The figure is not drawn to scale.)
80. Find x. (The figure is not drawn to scale.)
18
Name: ________________________
ID: A
81. Find mBAC. (The figure is not drawn to scale.)
82. mR = 38. Find mO. (The figure is not drawn to scale.)
83. Given that DAB and DCB are right angles and mBDC = 52º, what is m CAD? (The figure is not drawn to scale.)
19
Name: ________________________
ID: A
84. If mBAD  30, what is mBCD?
20
ID: A
Geometry SIA #3 Practice Exam
Answer Section
SHORT ANSWER
1. ANS: –0.5
PTS: 1 DIF: L3 REF: 1-7 Midpoint and Distance in the Coordinate Plane
OBJ: 1-7.1 Find the midpoint of a segment STA: MA.912.G.1.1
TOP: 1-7 Problem 1 Finding the Midpoint KEY: segment length | segment | midpoint
DOK: DOK 2
2. ANS: (3, –1)
PTS: 1 DIF: L2 REF: OBJ: 1-7.1 Find the midpoint of a segment TOP: 1-7 Problem 1 Finding the Midpoint KEY: coordinate plane | Midpoint Formula 3. ANS: (5, 11)
1-7 Midpoint and Distance in the Coordinate Plane
STA: MA.912.G.1.1
DOK: DOK 2
PTS: OBJ: TOP: KEY: 4. ANS: 5
1 DIF: L2 REF: 1-7.1 Find the midpoint of a segment 1-7 Problem 1 Finding the Midpoint coordinate plane | Midpoint Formula 1-7 Midpoint and Distance in the Coordinate Plane
STA: MA.912.G.1.1
DOK: DOK 1
PTS: OBJ: TOP: KEY: 5. ANS: (3, 3)
1 DIF: L3 REF: 1-7.1 Find the midpoint of a segment 1-7 Problem 1 Finding the Midpoint coordinate plane | Midpoint Formula 1-7 Midpoint and Distance in the Coordinate Plane
STA: MA.912.G.1.1
DOK: DOK 1
PTS: OBJ: TOP: KEY: 6. ANS: (4, 4)
1 DIF: L3 REF: 1-7.1 Find the midpoint of a segment 1-7 Problem 2 Finding an Endpoint coordinate plane | Midpoint Formula 1-7 Midpoint and Distance in the Coordinate Plane
STA: MA.912.G.1.1
DOK: DOK 2
PTS: OBJ: TOP: KEY: 1 DIF: L2 REF: 1-7.1 Find the midpoint of a segment 1-7 Problem 2 Finding an Endpoint coordinate plane | Midpoint Formula 1-7 Midpoint and Distance in the Coordinate Plane
STA: MA.912.G.1.1
DOK: DOK 2
1
ID: A
7. ANS: 2.2
PTS: 1 DIF: L3 REF: 1-7 Midpoint and Distance in the Coordinate Plane
OBJ: 1-7.2 Find the distance between two points in the coordinate plane
STA: MA.912.G.1.1 TOP: 1-7 Problem 3 Finding Distance
KEY: Distance Formula | coordinate plane DOK: DOK 2
8. ANS: 10.6 miles
PTS: 1 DIF: L3 REF: 1-7 Midpoint and Distance in the Coordinate Plane
OBJ: 1-7.2 Find the distance between two points in the coordinate plane
STA: MA.912.G.1.1 TOP: 1-7 Problem 4 Finding Distance
KEY: coordinate plane | Distance Formula | word problem | problem solving
DOK: DOK 2
9. ANS:  5 
 5,  , 29.5 miles
 2 


PTS: 1 DIF: L3 REF: 1-7 Midpoint and Distance in the Coordinate Plane
OBJ: 1-7.2 Find the distance between two points in the coordinate plane
STA: MA.912.G.1.1 TOP: 1-7 Problem 4 Finding Distance
KEY: Distance Formula | coordinate plane | word problem | problem solving | midpoint
DOK: DOK 2
10. ANS: 238 feet
PTS: 1 DIF: L2 REF: 1-8 Perimeter, Circumference, and Area
OBJ: 1-8.1 Find the perimeter or circumference of basic shapes STA: MA.912.G.2.5| MA.912.G.6.5 TOP: 1-8 Problem 1 Finding the Perimeter of a Rectangle
KEY: perimeter | rectangle DOK: DOK 1
11. ANS: 41.8 in.
PTS: OBJ: STA: KEY: 12. ANS: 186 ft
1 DIF: L3 REF: 1-8 Perimeter, Circumference, and Area
1-8.1 Find the perimeter or circumference of basic shapes MA.912.G.2.5| MA.912.G.6.5 TOP: 1-8 Problem 1 Finding the Perimeter of a Rectangle
perimeter | problem solving | word problem DOK: DOK 1
PTS: OBJ: STA: KEY: 1 DIF: L4 REF: 1-8 Perimeter, Circumference, and Area
1-8.1 Find the perimeter or circumference of basic shapes MA.912.G.2.5| MA.912.G.6.5 TOP: 1-8 Problem 1 Finding the Perimeter of a Rectangle
perimeter | rectangle | word problem | problem solving DOK: DOK 2
2
ID: A
13. ANS: 62.8 m
PTS: 1 DIF: L3 REF: 1-8 Perimeter, Circumference, and Area
OBJ: 1-8.1 Find the perimeter or circumference of basic shapes STA: MA.912.G.2.5| MA.912.G.6.5 TOP: 1-8 Problem 2 Finding Circumference
KEY: circle | circumference DOK: DOK 2
14. ANS: 84 in.
PTS: 1 DIF: L3 REF: 1-8 Perimeter, Circumference, and Area
OBJ: 1-8.1 Find the perimeter or circumference of basic shapes STA: MA.912.G.2.5| MA.912.G.6.5 TOP: 1-8 Problem 2 Finding Circumference
KEY: circle | circumference DOK: DOK 2
15. ANS: 24 units
PTS: 1 DIF: L3 REF: 1-8 Perimeter, Circumference, and Area
OBJ: 1-8.1 Find the perimeter or circumference of basic shapes STA: MA.912.G.2.5| MA.912.G.6.5 TOP: 1-8 Problem 3 Finding Perimeter in the Coordinate Plane
KEY: perimeter | triangle | coordinate plane | Distance Formula DOK: DOK 2
16. ANS: 22 units
PTS: 1 DIF: L3 REF: 1-8 Perimeter, Circumference, and Area
OBJ: 1-8.1 Find the perimeter or circumference of basic shapes STA: MA.912.G.2.5| MA.912.G.6.5 TOP: 1-8 Problem 3 Finding Perimeter in the Coordinate Plane
KEY: perimeter | coordinate plane | Distance Formula DOK: DOK 2
17. ANS: 1444 in. 2
PTS: OBJ: STA: KEY: 18. ANS: 60 ft 2
1 DIF: L3 REF: 1-8 Perimeter, Circumference, and Area
1-8.1 Find the perimeter or circumference of basic shapes MA.912.G.2.5| MA.912.G.6.5 TOP: 1-8 Problem 4 Finding Area of a Rectangle
area | square DOK: DOK 2
PTS: OBJ: STA: KEY: 1 DIF: L2 REF: 1-8 Perimeter, Circumference, and Area
1-8.1 Find the perimeter or circumference of basic shapes MA.912.G.2.5| MA.912.G.6.5 TOP: 1-8 Problem 4 Finding Area of a Rectangle
area | rectangle DOK: DOK 1
3
ID: A
19. ANS: 484 in.2
PTS: 1 DIF: L3 REF: 1-8 Perimeter, Circumference, and Area
OBJ: 1-8.1 Find the perimeter or circumference of basic shapes STA: MA.912.G.2.5| MA.912.G.6.5 TOP: 1-8 Problem 5 Finding Area of a Circle
KEY: area | circle DOK: DOK 1
20. ANS: 35.2 in.2
PTS: 1 DIF: L2 REF: 1-8 Perimeter, Circumference, and Area
OBJ: 1-8.1 Find the perimeter or circumference of basic shapes STA: MA.912.G.2.5| MA.912.G.6.5 TOP: 1-8 Problem 5 Finding Area of a Circle
KEY: area | circle DOK: DOK 1
21. ANS: 7.7 in. 2
PTS: OBJ: STA: KEY: 22. ANS: 68 ft 2
1 DIF: L3 REF: 1-8 Perimeter, Circumference, and Area
1-8.1 Find the perimeter or circumference of basic shapes MA.912.G.2.5| MA.912.G.6.5 TOP: 1-8 Problem 6 Finding Area of an Irregular Shape
circle | square | area DOK: DOK 2
PTS: 1 DIF: L2 REF: 1-8 Perimeter, Circumference, and Area
OBJ: 1-8.1 Find the perimeter or circumference of basic shapes STA: MA.912.G.2.5| MA.912.G.6.5 TOP: 1-8 Problem 6 Finding Area of an Irregular Shape
KEY: area | rectangle DOK: DOK 2
23. ANS: A  (15  3)  (12  4)
PTS: OBJ: STA: KEY: 24. ANS: 3

2
1 DIF: L2 REF: 1-8 Perimeter, Circumference, and Area
1-8.1 Find the perimeter or circumference of basic shapes MA.912.G.2.5| MA.912.G.6.5 TOP: 1-8 Problem 6 Finding Area of an Irregular Shape
rectangle | area DOK: DOK 2
PTS: 1 DIF: L3 REF: 3-7 Equations of Lines in the Coordinate Plane
OBJ: 3-7.1 Graph and write linear equations TOP: 3-7 Problem 1 Finding Slopes of Lines KEY: slope | linear graph | graph of line
DOK: DOK 2
4
ID: A
25. ANS: 5
12
PTS: 1 DIF: L3 REF: 3-7 Equations of Lines in the Coordinate Plane
OBJ: 3-7.1 Graph and write linear equations TOP: 3-7 Problem 1 Finding Slopes of Lines KEY: slope | linear graph | graph of line
DOK: DOK 2
26. ANS: 2

13
PTS: 1 DIF: L3 REF: 3-7 Equations of Lines in the Coordinate Plane
OBJ: 3-7.1 Graph and write linear equations TOP: 3-7 Problem 1 Finding Slopes of Lines KEY: slope | linear graph | graph of line
DOK: DOK 2
27. ANS: y  1 / 5x  (13 / 5)
PTS: 1 DIF: L4 REF: 3-7 Equations of Lines in the Coordinate Plane
OBJ: 3-7.1 Graph and write linear equations TOP: 3-7 Problem 4 Using Two Points to Write an Equation KEY: point-slope form
DOK: DOK 2
28. ANS: x = 5
PTS: OBJ: TOP: KEY: 29. ANS: y = 4
1 DIF: L3 REF: 3-7 Equations of Lines in the Coordinate Plane
3-7.1 Graph and write linear equations 3-7 Problem 5 Writing Equations of Horizontal and Vertical Lines
vertical line DOK: DOK 2
PTS: 1 DIF: L3 REF: 3-7 Equations of Lines in the Coordinate Plane
OBJ: 3-7.1 Graph and write linear equations TOP: 3-7 Problem 5 Writing Equations of Horizontal and Vertical Lines
KEY: horizontal line DOK: DOK 2
30. ANS: No; the lines have unequal slopes.
PTS: OBJ: TOP: KEY: 1 DIF: L2 REF: 3-8 Slopes of Parallel and Perpendicular Lines
3-8.1 Relate slope to parallel and perpendicular lines 3-8 Problem 1 Checking for Parallel Lines slopes of parallel lines | graphing | parallel lines DOK: DOK 2
5
ID: A
31. ANS: y + 5 = 6(x + 8)
PTS: 1 DIF: L3 REF: 3-8 Slopes of Parallel and Perpendicular Lines
OBJ: 3-8.1 Relate slope to parallel and perpendicular lines TOP: 3-8 Problem 2 Writing Equations of Parallel Lines KEY: slopes of parallel lines | parallel lines DOK: DOK 2
32. ANS: y – 3 = –2(x + 6)
PTS: OBJ: TOP: KEY: 33. ANS: 1 DIF: L3 REF: 3-8 Slopes of Parallel and Perpendicular Lines
3-8.1 Relate slope to parallel and perpendicular lines 3-8 Problem 2 Writing Equations of Parallel Lines slopes of parallel lines | parallel lines DOK: DOK 2
1
y – 3 =  (x + 6)
2
PTS: 1 DIF: L3 REF: 3-8 Slopes of Parallel and Perpendicular Lines
OBJ: 3-8.1 Relate slope to parallel and perpendicular lines TOP: 3-8 Problem 4 Writing Equations of Perpendicular Lines KEY: slopes of perpendicular lines | perpendicular lines DOK: DOK 2
34. ANS: isosceles
PTS: 1 DIF: L2 REF: 6-7 Polygons in the Coordinate Plane
OBJ: 6-7.1 Classify polygons in the coordinate plane STA: MA.912.G.1.1| MA.912.G.2.6| MA.912.G.3.1| MA.912.G.3.3| MA.912.G.4.1| MA.912.G.4.8
TOP: 6-7 Problem 1 Classifying a Triangle KEY: triangle | distance formula | isosceles | scalene DOK: DOK 2
35. ANS: rhombus
PTS: 1 DIF: L3 REF: 6-7 Polygons in the Coordinate Plane
OBJ: 6-7.1 Classify polygons in the coordinate plane STA: MA.912.G.1.1| MA.912.G.2.6| MA.912.G.3.1| MA.912.G.3.3| MA.912.G.4.1| MA.912.G.4.8
TOP: 6-7 Problem 3 Classifying a Quadrilateral KEY: midpoint | kite | rectangle
DOK: DOK 2
36. ANS: (c, b)
PTS: OBJ: STA: TOP: KEY: 1 DIF: L2 REF: 6-8 Applying Coordinate Geometry
6-8.1 Name coordinates of special figures by using their properties
MA.912.G.1.1| MA.912.G.2.6| MA.912.G.3.3| MA.912.G.3.4| MA.912.G.4.8| MA.912.G.8.5
6-8 Problem 2 Using Variable Coordinates coordinate plane | algebra | rectangle DOK: DOK 2
6
ID: A
37. ANS: ( p + r + s, 2q)
PTS: 1 DIF: L3 REF: 6-8 Applying Coordinate Geometry
OBJ: 6-8.1 Name coordinates of special figures by using their properties
STA: MA.912.G.1.1| MA.912.G.2.6| MA.912.G.3.3| MA.912.G.3.4| MA.912.G.4.8| MA.912.G.8.5
TOP: 6-8 Problem 2 Using Variable Coordinates KEY: algebra | coordinate plane | isosceles trapezoid | midsegment DOK: DOK 2
38. ANS: LM , MN , NP, and PL
PTS: OBJ: STA: KEY: 39. ANS: 1 DIF: L3 REF: 10-6 Circles and Arcs 10-6.1 Find the measures of central angles and arcs MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 1 Naming Arcs
major arc | minor arc | semicircle DOK: DOK 1
BCA, CDB, DAC , and ABD
PTS: OBJ: STA: KEY: 40. ANS: 172
1 DIF: L3 REF: 10-6 Circles and Arcs 10-6.1 Find the measures of central angles and arcs MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 1 Naming Arcs
major arc | minor arc | semicircle DOK: DOK 1
PTS: 1 DIF: L3 REF: 10-6 Circles and Arcs OBJ: 10-6.1 Find the measures of central angles and arcs STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 2 Finding the Measures of Arcs KEY: major arc | measure of an arc | arc
DOK: DOK 1
41. ANS: 6.6 cm
PTS: 1 DIF: L2 REF: 10-6 Circles and Arcs OBJ: 10-6.2 Find the circumference and arc length STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 3 Finding a Distance
KEY: circumference | diameter DOK: DOK 2
42. ANS: 24 in.
PTS: OBJ: STA: KEY: 1 DIF: L2 REF: 10-6 Circles and Arcs 10-6.2 Find the circumference and arc length MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 3 Finding a Distance
circumference | radius DOK: DOK 2
7
ID: A
43. ANS: 78 cm; 39 cm; 41.2 cm
PTS: 1 DIF: L4 REF: 10-6 Circles and Arcs OBJ: 10-6.2 Find the circumference and arc length STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 4 Finding Arc Length
KEY: circumference | radius DOK: DOK 2
44. ANS: 15 m
PTS: 1 DIF: L3 REF: 10-6 Circles and Arcs OBJ: 10-6.2 Find the circumference and arc length STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 4 Finding Arc Length
KEY: arc | circumference DOK: DOK 2
45. ANS: 1.44 m2
PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and Sectors
OBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-7 Problem 1 Finding the Area of a Circle KEY: area of a circle | radius
DOK: DOK 2
46. ANS: 9.3025 m2
PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and Sectors
OBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-7 Problem 1 Finding the Area of a Circle KEY: area of a circle | radius
DOK: DOK 2
47. ANS: 71.7 cm2
PTS: 1 DIF: L4 REF: 10-7 Areas of Circles and Sectors
OBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-7 Problem 1 Finding the Area of a Circle KEY: circumference | radius | diameter | area of a circle | word problem | problem solving
DOK: DOK 3
48. ANS: 39.3 in.2
PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and Sectors
OBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-7 Problem 2 Finding the Area of a Sector of a Circle KEY: sector | circle | area
DOK: DOK 2
8
ID: A
49. ANS: 22.1 cm2
PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and Sectors
OBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-7 Problem 2 Finding the Area of a Sector of a Circle KEY: sector | circle | area | central angle
DOK: DOK 2
50. ANS: 72.25  144.5ft 2
PTS: OBJ: STA: TOP: KEY: 51. ANS: 2
3
1 DIF: L2 REF: 10-7 Areas of Circles and Sectors
10-7.1 Find the areas of circles, sectors, and segments of circles MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 10-7 Problem 3 Finding the Area of a Segment of a Circle sector | circle | area | central angle DOK: DOK 2
PTS: 1 DIF: L4 REF: 10-8 Geometric Probability
OBJ: 10-8.1 Use segment and area models to find the probabilities of events
STA: MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5 TOP: 10-8 Problem 1 Using Segments to Find Probability KEY: geometric probability | segment
DOK: DOK 1
52. ANS: 13
60
PTS: 1 DIF: L3 REF: 10-8 Geometric Probability
OBJ: 10-8.1 Use segment and area models to find the probabilities of events
STA: MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5 TOP: 10-8 Problem 2 Using Segments to Find Probability KEY: geometric probability | segment | word problem | problem solving DOK: DOK 2
53. ANS: 19
24
PTS: 1 DIF: L4 REF: 10-8 Geometric Probability
OBJ: 10-8.1 Use segment and area models to find the probabilities of events
STA: MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5 TOP: 10-8 Problem 2 Using Segments to Find Probability KEY: geometric probability | segment | word problem | problem solving DOK: DOK 2
9
ID: A
54. ANS: 0.32
PTS: 1 DIF: L3 REF: 10-8 Geometric Probability
OBJ: 10-8.1 Use segment and area models to find the probabilities of events
STA: MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5 TOP: 10-8 Problem 3 Using Area to Find Probability KEY: geometric probability
DOK: DOK 2
55. ANS: 32
PTS: OBJ: TOP: KEY: 56. ANS: 17
1 DIF: L3 REF: 11-1 Space Figures and Cross Sections
11-1.1 Recognize polyhedra and their parts STA: MA.912.G.7.2| MA.912.G.7.3
11-1 Problem 2 Using Euler's Formula polyhedron | face | vertices | edge | Euler's Formula DOK: DOK 1
PTS: OBJ: TOP: KEY: 57. ANS: 17
1 DIF: L3 REF: 11-1 Space Figures and Cross Sections
11-1.1 Recognize polyhedra and their parts STA: MA.912.G.7.2| MA.912.G.7.3
11-1 Problem 2 Using Euler's Formula polyhedron | face | vertices | edge | Euler's Formula DOK: DOK 1
PTS: 1 DIF: L3 REF: 11-1 Space Figures and Cross Sections
OBJ: 11-1.1 Recognize polyhedra and their parts STA: MA.912.G.7.2| MA.912.G.7.3
TOP: 11-1 Problem 2 Using Euler's Formula KEY: polyhedron | face | vertices | edge | Euler's Formula DOK: DOK 1
58. ANS: 20 edges
PTS: 1 DIF: L4 REF: 11-1 Space Figures and Cross Sections
OBJ: 11-1.1 Recognize polyhedra and their parts STA: MA.912.G.7.2| MA.912.G.7.3
TOP: 11-1 Problem 2 Using Euler's Formula KEY: edge | Euler's Formula | face | polyhedron | problem solving | word problem | vertices
DOK: DOK 2
59. ANS: 28
PTS: 1 DIF: L3 REF: 12-1 Tangent Lines OBJ: 12-1.1 Use properties of a tangent to a circle STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 1 Finding Angle Measures KEY: tangent to a circle | point of tangency | properties of tangents | central angle
DOK: DOK 1
10
ID: A
60. ANS: 66
PTS: 1 DIF: L3 REF: 12-1 Tangent Lines OBJ: 12-1.1 Use properties of a tangent to a circle STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 1 Finding Angle Measures KEY: tangent to a circle | point of tangency | angle measure | properties of tangents | central angle
DOK: DOK 1
61. ANS: 65
PTS: 1 DIF: L4 REF: 12-1 Tangent Lines OBJ: 12-1.1 Use properties of a tangent to a circle STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 1 Finding Angle Measures KEY: properties of tangents | tangent to a circle | Tangent Theorem DOK: DOK 2
62. ANS: 46
PTS: 1 DIF: L4 REF: 12-1 Tangent Lines OBJ: 12-1.1 Use properties of a tangent to a circle STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 1 Finding Angle Measures KEY: properties of tangents | tangent to a circle | Tangent Theorem DOK: DOK 2
63. ANS: 35
PTS: 1 DIF: L2 REF: 12-1 Tangent Lines OBJ: 12-1.1 Use properties of a tangent to a circle STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 2 Finding Distance
KEY: tangent to a circle | point of tangency | properties of tangents | Pythagorean Theorem
DOK: DOK 2
64. ANS: 3,718 miles
PTS: 1 DIF: L3 REF: 12-1 Tangent Lines OBJ: 12-1.1 Use properties of a tangent to a circle STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 2 Finding Distance
KEY: tangent to a circle | point of tangency | properties of tangents | Pythagorean Theorem
DOK: DOK 2
11
ID: A
65. ANS: 17
PTS: 1 DIF: L4 REF: 12-1 Tangent Lines OBJ: 12-1.1 Use properties of a tangent to a circle STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 2 Finding Distance
KEY: tangent to a circle | point of tangency | properties of tangents | Pythagorean Theorem
DOK: DOK 2
66. ANS: 12.7 inches
PTS: 1 DIF: L4 REF: 12-1 Tangent Lines OBJ: 12-1.1 Use properties of a tangent to a circle STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 3 Finding a Radius
KEY: word problem | tangent to a circle | point of tangency | properties of tangents | right triangle | Pythagorean Theorem DOK: DOK 2
67. ANS: 7.6
PTS: 1 DIF: L3 REF: 12-1 Tangent Lines OBJ: 12-1.1 Use properties of a tangent to a circle STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 3 Finding a Radius
KEY: tangent to a circle | point of tangency | properties of tangents | right triangle | Pythagorean Theorem
DOK: DOK 2
68. ANS: 3.5
PTS: OBJ: STA: TOP: KEY: 69. ANS: 60
1 DIF: L3 REF: 12-1 Tangent Lines 12-1.1 Use properties of a tangent to a circle MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 12-1 Problem 5 Circles Inscribed in Polygons properties of tangents | tangent to a circle | pentagon DOK: DOK 2
PTS: OBJ: STA: TOP: KEY: 70. ANS: 3.5 ft
1 DIF: L3 REF: 12-1 Tangent Lines 12-1.1 Use properties of a tangent to a circle MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 12-1 Problem 5 Circles Inscribed in Polygons properties of tangents | tangent to a circle | triangle DOK: DOK 2
PTS: OBJ: STA: TOP: KEY: 1 DIF: L3 REF: 12-2 Chords and Arcs 12-2.2 Use perpendicular bisectors to chords MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 12-2 Problem 2 Finding the Length of a Chord circle | radius | chord | congruent chords | bisected chords DOK: DOK 1
12
ID: A
71. ANS: 24 in.
PTS: OBJ: STA: TOP: KEY: 72. ANS: 10
1 DIF: L3 REF: 12-2 Chords and Arcs 12-2.2 Use perpendicular bisectors to chords MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 12-2 Problem 2 Finding the Length of a Chord circle | radius | chord | congruent chords | bisected chords DOK: DOK 1
PTS: 1 DIF: L2 REF: 12-2 Chords and Arcs OBJ: 12-2.2 Use perpendicular bisectors to chords STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-2 Problem 3 Using Diameters and Chords KEY: bisected chords | circle | perpendicular | perpendicular bisector | Pythagorean Theorem
DOK: DOK 2
73. ANS: 8.8
PTS: 1 DIF: L2 REF: 12-2 Chords and Arcs OBJ: 12-2.2 Use perpendicular bisectors to chords STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-2 Problem 3 Using Diameters and Chords KEY: bisected chords | circle | perpendicular | perpendicular bisector | Pythagorean Theorem
DOK: DOK 2
74. ANS: 32
PTS: 1 DIF: L2 REF: 12-2 Chords and Arcs OBJ: 12-2.1 Use congruent chords, arcs, and central angles STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-2 Problem 4 Finding Measures in a Circle KEY: arc | central angle | congruent arcs
DOK: DOK 1
75. ANS: 19.1
PTS: 1 DIF: L3 REF: 12-2 Chords and Arcs OBJ: 12-2.1 Use congruent chords, arcs, and central angles STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-2 Problem 4 Finding Measures in a Circle KEY: circle | radius | chord | congruent chords | right triangle | Pythagorean Theorem
DOK: DOK 3
13
ID: A
76. ANS: 131
PTS: 1 DIF: L3 REF: 12-2 Chords and Arcs OBJ: 12-2.1 Use congruent chords, arcs, and central angles STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-2 Problem 4 Finding Measures in a Circle KEY: arc | chord-arc relationship | diameter | chord | perpendicular | angle measure | circle | right triangle | perpendicular bisector DOK: DOK 2
77. ANS: 228
PTS: 1 DIF: L2 REF: 12-2 Chords and Arcs OBJ: 12-2.1 Use congruent chords, arcs, and central angles STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-2 Problem 4 Finding Measures in a Circle KEY: arc | central angle | congruent arcs | arc measure | arc addition | diameter
DOK: DOK 1
78. ANS: 53.1
PTS: 1 DIF: L3 REF: 12-2 Chords and Arcs OBJ: 12-2.2 Use perpendicular bisectors to chords STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-2 Problem 4 Finding Measures in a Circle KEY: bisected chords | circle | perpendicular | perpendicular bisector | Pythagorean Theorem
DOK: DOK 2
79. ANS: 26
PTS: 1 DIF: L3 REF: 12-3 Inscribed Angles OBJ: 12-3.1 Find the measure of an inscribed angle STA: MA.912.G.6.3| MA.912.G.6.4
TOP: 12-3 Problem 1 Using the Inscribed Angle Theorem KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
DOK: DOK 1
80. ANS: 33
PTS: 1 DIF: L2 REF: 12-3 Inscribed Angles OBJ: 12-3.1 Find the measure of an inscribed angle STA: MA.912.G.6.3| MA.912.G.6.4
TOP: 12-3 Problem 1 Using the Inscribed Angle Theorem KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
DOK: DOK 1
14
ID: A
81. ANS: 51.5
PTS: OBJ: TOP: KEY: 82. ANS: 76
1 DIF: L4 REF: 12-3 Inscribed Angles 12-3.1 Find the measure of an inscribed angle STA: MA.912.G.6.3| MA.912.G.6.4
12-3 Problem 1 Using the Inscribed Angle Theorem circle | inscribed angle | central angle | intercepted arc DOK: DOK 2
PTS: 1 DIF: L2 REF: 12-3 Inscribed Angles OBJ: 12-3.1 Find the measure of an inscribed angle STA: MA.912.G.6.3| MA.912.G.6.4
TOP: 12-3 Problem 2 Using Corollaries to Find Angle Measures KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
DOK: DOK 1
83. ANS: 284
PTS: 1 DIF: L3 REF: 12-3 Inscribed Angles OBJ: 12-3.1 Find the measure of an inscribed angle STA: MA.912.G.6.3| MA.912.G.6.4
TOP: 12-3 Problem 2 Using Corollaries to Find Angle Measures KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
DOK: DOK 2
84. ANS: 30
PTS: 1 DIF: L2 REF: 12-3 Inscribed Angles OBJ: 12-3.1 Find the measure of an inscribed angle STA: MA.912.G.6.3| MA.912.G.6.4
TOP: 12-3 Problem 2 Using Corollaries to Find Angle Measures KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
DOK: DOK 1
15