Geometry
District Midterm
Geometry EOC
Appendix G
Algebra 1 End-of-Course and Geometry End-of-Course
Assessments Reference Sheet
b
h
w
d
r
base
height
width
diameter
radius
slant height
a
apothem
A
B
C
V
P
S.A.
area
area of base
circumference
volume
perimeter
of base
surface area
V bwh or
V Bh
S. A. 2bh 2bw 2 hw or
S. A. Ph 2 B
V !r 2 h or
S. A. 2 !rh 2 !r 2 or
S. A. 2 !rh 2 B
1
2
1
3
V 31 !r 2 h or
S. A. 1
1
(2!r ) B
2
3
Sum of the measures of the interior angles of a polygon 180 ( n 2)
Measure of an interior angle of a regular polygon
where:
180 (n 2)
n
n represents the number of sides
Geometry EOC Test Item Specifications
Florida Department of Education | G-4
| 137
Geometry EOC
Appendix G
Algebra 1 End-of-Course and Geometry End-of-Course
Assessments Reference Sheet
Distance between two points
Slope formula
y2
y1
x2
x1
(x2 − x1)2 + (y2 − y1)2
x1 y1
x2 y2
Midpoint between two points
Slope-intercept form of a linear equation
(
(
Quadratic formula
-
Point-slope form of a linear equation
y1
x1
x1 y1
Special Right Triangles
x
x
x
G-5
|
Trigonometric Ratios
x
x
x
Geometry EOC Test Item Specifications
A°
sin A°
opposite
hypotenuse
cos A°
adjacent
hypotenuse
tan A°
opposite
adjacent
Florida Department of Education
Geometry District Midterm
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1
Determine the contrapositive of the statement below.
If !B is 20 degrees, then !B is an acute angle.
A) If !B is an acute angle, then !B is equal to 20 degrees.
B) If !B is NOT equal to 20 degrees, then !B is NOT acute.
C) If !B is NOT an acute angle, then !B is NOT equal to 20 degrees.
D) None of the above.
2
3
Is there enough information to conclude that the two triangles are congruent? If so, what is a correct
congruence statement?
A) Yes; "CAB # "DAC.
C) Yes; "ABC # "ACD.
B) Yes; "ACB # "ACD.
D) No, the triangles cannot be proven
congruent.
The coordinates of endpoint D in CD are at D(5, 5). If the midpoint of the segment is at M(1, –1), what are
the coordinates of point C?
A) (3, 2)
B) (–3, –7)
C) (–2, –6)
1
D) (–3, –8)
4
The octagon in the figure is equiangular and AB # AC. Find m!ACB.
A) 135
5
B) 45
C) 30
D) 90
What is the inverse of the conditional below? What is the truth value of the inverse?
If two lines intersect at right angles, then the lines are perpendicular.
A) If two lines are perpendicular, then they intersect at right angles; false.
B) If two lines are perpendicular, then they intersect at right angles; true.
C) If two lines do NOT intersect at right angles, then they are NOT perpendicular; true.
D) If two lines do NOT intersect at right angles, then they are NOT perpendicular; false.
6
Can you use the SAS Postulate, the AAS Theorem, or both to prove the triangles congruent?
A) either SAS or AAS
C) AAS only
B) SAS only
D) neither
2
7
Which two lines are parallel?
3y = $2x $ 3
3y = 3 + 4x
3y + 2x = $1
I.
II.
III.
8
A) I and III
C) II and III
B) I and II
D) No two of the lines are parallel.
A star patterned quilt has a star with the angles shown. What is the value of x?
The diagram is not to scale.
A) 94
9
!NPM #
A) !ABC
B) 101
C) 96
D) 84
B) !BAC
C) !BCA
D) !CAB
?
3
10
11
Given the figure below, what can you conclude?
A) ABCD is a kite
C) ABCD is a rhombus.
B) ABCD is a trapezoid
D) None of the above
A road sign is in the shape of a regular heptagon. What is the measure of each angle on the sign? Round to
the nearest tenth.
A) 900
12
B) 231.4
C) 128.6
D) 64.3
In parallelogram ABCD, m!ACD = 2x + 4 and m!ACB = 5x " 11. For what value of x is ABCD a rhombus?
A) 4
B) 5
C) 6
4
D) 7
13
Name a fourth point in plane TUW.
A) Y
14
15
B) Z
C) W
D) X
In "ACE, G is the centroid and BE = 21. Find BG and GE.
A) BG = 14, GE = 7
C) BG = 7, GE = 14
1
3
B) BG = 5 , GE = 15
4
4
1
1
D) BG = 10 , GE = 10
2
2
Name the theorem or postulate that lets you immediately conclude "ABD # "CBD.
A) AAS
B) SAS
C) ASA
5
D) none of these
16
A city engineer reviews a plan for four city streets. The numbered streets will be parallel and run East and
West. The plan below shows two other parallel roadways that intersect First Street and Third Street. Maple
Avenue forms a 54° angle with Third Street as shown.
What is the measure of !1?
A) 36°
17
18
B) 54°
C) 126°
D) 136°
Which triangles are congruent by ASA?
A) "HGF and "VTU
C) none
B) "ABC and "GFH
D) "HGF and "ABC
Given "QRS # "TUV, QS = 4v + 5, and TV = 5v $ 8, find the length of QS and TV.
A) 58
B) 57
C) 73
6
D) 13
19
Find m!Q. The diagram is not to scale.
A) 103°
20
22
C) 87°
D) 110°
Find the value of x. The diagram is not to scale.
A) x = 23
21
B) 77°
B) x = 13
C) x = 40
D) none of these
!DFG and !JKL are complementary angles. m!DFG = x + 4, and m!JKL = x $ 10. Find the measure of
!DFG.
A) !DFG = 52°
C) !DFG = 38°
B) !DFG = 97°
D) !DFG = 83°
If T is the midpoint of SU, what is SU?
A)
SU = 96
B) SU = 48
C) SU = 32
7
D) SU = 6
23
24
Find the values of a and b.The diagram is not to scale.
A) a = 144, b = 67
C) a = 113, b = 67
B) a = 144, b = 36
D) a = 113, b = 36
In rectangle KLMN, KM = 4x + 18 and LN = 50. Find the value of x.
A) 7
25
B) 32
C) 8
D) 9
m!R = 140° and m!S = 80°. Find m!T. The diagram is not to scale.
A) 30°
B) 60°
C) 70°
8
D) 80°
26
Triangle LMN has the vertices shown on the coordinate grid.
Which is closest to the length of LM?
A) 7 units
27
B) 7.8 units
C) 8 units
D) 8.6 units
In the figure shown, m!AED = 120°. Which of the following statements is false?
Not drawn to scale
A) m!AEB = 60°
C) m!BEC = 120°
B) !BEC and !CED are adjacent angles.
D) !AED and !BEC are adjacent angles.
9
28
Use the information in the diagram to determine the height of the tree. The diagram is not to scale.
A) 95 ft
29
C) 47.5 ft
D) 190 ft
LM is the midsegment of T rapezoid ABCD. AB = 56 and DC = 166. What is LM?
A) 121
30
B) 45.5 ft
B) 110
C) 222
D) 111
If !A # !D and !C # !F, which additional statement does NOT allow you to conclude that
"ABC # "DEF?
A) BC # EF
C) AC # DF
B) !B # !E
D) AB # DE
10
31
Point G is on the bisector of !DEF. GI = 3 and GE = 5 . What is the length of GH ?
A) 3
32
B) 4
C) 5
D)
34
Which of the following is logically equivalent to the following statement?
If you determined a point that is the average of the coordinates of the endpoints of a segment, then you
determined the midpoint of the segment.
A) If you did NOT determine the midpoint of the segment, then you did NOT determine
a point that is the average of the coordinates of the segment endpoints.
B) If you determined the midpoint of the segment, then you determined a point that is
the average of the coordinates of the segment endpoints.
C) If you determined a point that is NOT the average of the coordinates of the
endpoints of a segment, then you did NOT determine the midpoint of the segment.
D) All of the above
33
&&
%
SQ bisects !RST, and m!RSQ = 2x $ 9. Write an expression for !RST. The diagram is not to scale.
A) 4x – 18
B) 2x – 9
C) x – 4.5
11
D) 4x – 9
34
Quadrilateral LMNO has vertices as shown below. Each side has a length of 2
2 units.
Which of the following would be sufficient to prove that LMNO is a square?
A) MN and LO have the same slope.
B) MO bisects LN.
C) MO ' LN
D) MN ' LM
35
Which labeled angle has the greatest measure? The diagram is not to scale.
A) !1
C) !3
B) !2
D) not enough information in the diagram
12
36
A tourist is standing at point T in the following diagram.
The tourist wants to go to the nearest restroom facility. Which of the following statements is correct?
A) Restroom facility R is closer.
B) Restroom facility S is closer.
C) Both restroom facilities are the same distance from the tourist.
D) The only distance that can be determined correctly is RS.
37
Find m!A. The diagram is not to scale.
A) 107°
B) 117°
C) 63°
13
D) 73°
38
In the parallelogram, m!QRP = 46 and m!PRS = 50°. What is m!PQR?
A) 46
39
41
C) 84
D) 96
For the parallelogram, if m!2 = 4x $ 18 and m!4 = 3x $ 8, find m!1. The diagram is not to scale.
A) 168°
40
B) 50
B) 158°
C) 10°
D) 22°
Anthony leaves his house to go on a walk. He walks 100 yards in one direction and then 80 yards in another
direction. Which can NOT represent the distance he is from his house at the end of the walk?
A) 25 yards
C) 165 yards
B) 85 yards
D) 210 yards
A landscaper plans a garden next to a house as shown below. The plan requires that PQ Ä SR and
m!PQR = 48°.
What is the measure of !QRS?
A) 42°
B) 48°
C) 54°
14
D) 132°
42
43
If m!DBC = 98°, what is the relationship between AD and CD?
A) AD < CD
C) AD > CD
B) not enough information
D) AD = CD
ZC is an altitude and !CYW = 64°. Find m!WZC.
A) 30°
44
B) 90°
C) 26°
D) 64°
If m!AOC = 67°, m!BOC = 2x + 10, and m!AOB = 4x $ 15, find the degree measure of !AOB. The
diagram is not to scale.
A)
m!AOB = 43°
B) m!AOB = 33°
C)
m!AOB = 34°
D) m!AOB = 24°
15
45
What is the converse of the following conditional?
If a point is in the first quadrant, then its coordinates are positive.
A) If a point is in the first quadrant, then its coordinates are positive.
B) If a point is not in the first quadrant, then
the coordinates of the point are not positive.
C) If the coordinates of a point are positive, then the point is in the first quadrant.
D) If the coordinates of a point are not positive, then
the point is not in the first quadrant.
Geometry District Midterm Fill-In Response
46
What is the value of x?
47
Points B, D, and F are midpoints of the sides of "ACE. EC = 30 and DF = 23. Find AC.
The diagram is not to scale.
16
48
Given that lines f and g are parallel, find the value of x. The diagram is not to scale.
49
Find the perimeter of parallelogram ABDC with vertices A(–2, 2), B(4, 2), D(0, –1), and C(–6, –1).
50
If EF = 5x + 15, FG = 53, and EG = 143, find the value of x.
The drawing is not to scale.
17
ID: A
Geometry District Midterm
Answer Section
MULTIPLE CHOICE
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
ANS:
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ANS:
C
B
B
B
C
C
A
D
C
C
C
B
B
C
B
C
D
B
B
A
A
A
A
C
B
D
D
A
D
B
A
A
A
D
C
A
D
PTS:
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PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA:
STA:
STA:
STA:
STA:
STA:
MA.912.D.6.2
MA.912.G.2.3| MA.912.G.4.6| MA.912.G.5.4
MA.912.G.1.1
MA.912.G.4.1
MA.912.D.6.3
MA.912.G.4.3| MA.912.G.4.6| MA.912.G.8.5
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
MA.912.G.2.2|
MA.912.G.2.3|
MA.912.G.3.3
MA.912.G.2.1|
MA.912.G.3.1|
MA.912.G.8.1
MA.912.G.4.2|
MA.912.G.4.3|
MA.912.G.1.3
MA.912.G.4.3|
MA.912.G.2.3|
MA.912.G.1.3
MA.912.G.4.1
MA.912.G.4.2
MA.912.G.1.1
MA.912.G.3.1|
MA.912.G.3.1|
MA.912.G.3.1|
MA.912.G.1.1
MA.912.G.4.2
MA.912.G.1.1|
MA.912.G.3.1|
MA.912.G.4.3|
MA.912.G.4.5
MA.912.D.6.3
MA.912.G.4.2
MA.912.G.3.3
MA.912.G.4.7
MA.912.G.4.7
MA.912.G.2.1|
1
MA.912.G.4.1| MA.912.G.8.5
MA.912.G.2.4| MA.912.G.4.6
MA.912.G.2.2
MA.912.G.3.2| MA.912.G.3.4
MA.912.G.4.5
MA.912.G.4.6| MA.912.G.8.5
MA.912.G.4.6| MA.912.G.8.5
MA.912.G.2.4| MA.912.G.4.6
MA.912.G.3.2| MA.912.G.3.4
MA.912.G.3.2| MA.912.G.3.4
MA.912.G.3.2| MA.912.G.3.4
MA.912.G.4.5
MA.912.G.3.2| MA.912.G.3.4
MA.912.G.4.6| MA.912.G.8.5
MA.912.G.2.2
ID: A
38
39
40
41
42
43
44
45
ANS:
ANS:
STA:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
C
PTS: 1
STA: MA.912.G.3.2
B
PTS: 1
MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5
D
PTS: 1
STA: MA.912.G.4.7
D
PTS: 1
STA: MA.912.G.1.3
A
PTS: 1
STA: MA.912.G.4.7
C
PTS: 1
STA: LA.1112.1.6.1 | MA.912.G.4.2
B
PTS: 1
C
PTS: 1
STA: MA.912.D.6.2| MA.912.D.6.3
SHORT ANSWER
46
47
ANS:
71°
PTS: 1
ANS:
STA: MA.912.G.4.1
46
48
PTS: 1
ANS:
11
PTS: 1
ANS:
22 units
STA: MA.912.G.1.3
49
PTS: 1
ANS:
x = 15
STA: MA.912.G.2.5| MA.912.G.6.5
50
PTS: 1
STA: MA.912.G.1.1
2
Geometry District Midterm Fill-In Response Answer Sheet
Name: _________________________________
Date: _______
Period: ____
46.
47.
48.
49.
50.
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Cut Here _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Geometry District Midterm Fill-In Response Answer Sheet
Name: _________________________________
46.
47.
48.
49.
50.
Date: _______
Period: ____