Geometry
Problem Set #3
Name_______________________________
Due – 4/26 or 4/27
Pd_________
Directions: To receive full credit, show all required work and place answers in the space
provided, when applicable.
1. In DEF, mDE
largest.
2. In
A.
B.
C.
D.
8 inches, mEF
ABC, if m C
m B
6 inches, and mDF 10 inches. List the angles in order from smallest to
m A, then –
AB < AC < BC
AC < AB < BC
AB < BC < CA
BC < AB < CA
3. A baseball diamond is in the shape of a square, 90 feet on a
side.
What is the direct distance from home plate to second base?
A. 90 ft
B. 90 2 ft
C. 90 3 ft
D. 180 ft
4. Plot the length of a diagonal brace that could be used for a wall 9 feet high and 12 feet long.
7
8
9
10
11 12 13 14 15
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17 18
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5. Gene’s horse corral, labeled ABCD in the drawing, is shaped as a parallelogram and is adjacent to the shed,
labeled ZAD.
If a gate, labeled CF, opens all the way to the corral fence, position labeled CG, through how many
degrees does the gate swing?
A. 40°
B. 50°
C. 130°
D. 140°
6. A diagonal of parallelogram DEFG forms angles with measures shown.
What is the measure of
A. 44°
B. 56°
C. 80°
D. 100°
DEF?
7. Quadrilateral MNOP is a parallelogram. The coordinates of
three of its vertices are M(1, 5),
N(2, 1), and O(–3, –2).
Plot point P on the coordinate grid.
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8. Rectangular flowerbeds are built on each side of a fishpond in the shape of a regular octagon.
What is the measure of the angle x, between two consecutive flowerbeds?
A. 30°
B. 45°
C. 60°
D. 90°
9. A portion of a regular polygon is shown. The polygon has –
A.
B.
C.
D.
15 sides
16 sides
18 sides
20 sides
10. Each interior angle of a regular polygon has a measure of 162°. The polygon has a total of –
A.
B.
C.
D.
17 sides
18 sides
19 sides
20 sides
11. What is the length of SU ?
A. 2 7 cm
B. 7 cm
C. 4 7 cm
D. 20 cm
12. For a regular polygon with three sides, each interior angle has a measure of –
A.
B.
C.
D.
180°
60°
45°
30°
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13. Each interior angle of a regular polygon measures 156°. How many sides does the polygon have?
A.
B.
C.
D.
13
14
15
16
14. The area of the shaded sector of circle O is –
A.
B.
C.
D.
5
20
25
50
15. Given:
B.
What is the m ADC?
A. 23°
B. 46°
C. 77°
D. 92°
16. Which is most likely a line of symmetry for triangle KLM?
A.
B.
C.
D.
q
r
s
t
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17. The diameter of a circle has endpoints (–3, 2) and (3, –2). Which is closest to the length of the diameter
of the circle?
A.
B.
C.
D.
1.4
3.2
7.2
10.0
18. Janelle is looking at plate designs. Which design has exactly 4 lines of symmetry?
A.
B.
C.
D.
19. In the design, a hexagon is inscribed in a circle.
Which point shows the location of Point Q after a 240° clockwise
rotation around the center?
A. S
B. T
C. U
D. V
20. Plot the point R” if R S is a reflection of RS across the y-axis and
rule (x , y ) (x 2, y 3)
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RS
is a translation according to the
21. In circle O, the degree measure of PSR is 280°.
What is the degree measure of
A. 160°
B. 85°
C. 80°
D. 40°
22. In circle C, mWX
25 , mXY
POR ?
40 , mYZ
25 , and WY = 24 centimeters.
What is the length of XZ ?
A. 12 cm
B. 24 cm
C. 25 cm
D. 65 cm
23. Right triangle ABC has the measures shown.
What is the maximum number of different lines of symmetry that
can be drawn through ABC?
A. 0
B. 1
C. 2
D. 3
24. For the transformation shown, circle each of the transformations
listed below that could have been applied to the preimage to
create the image?
A.
B.
C.
D.
reflection across the y-axis, then reflection in the x-axis
reflection across the x-axis, then reflection in the y-axis
90° rotation about the origin
180° rotation about the origin
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25. Rectangle ABCD is placed in a coordinate plane as shown.
Which equation(s) describes a line of
symmetry for rectangle ABCD?
A. x = –2
B. x = 5
C. y = 5
D. y = x
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