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Geometry Copyright © Big Ideas Learning, LLC Assessment Book All rights reserved. 178
Answers
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Post Course Post Course Test
Name _________________________________________________________ Date _________
Find the length of ST .
1. 2.
3. ( ) ( )3, 7 and 4, 2J K− − are endpoints of a line segment. Find the coordinates
of the midpoint M. Find the distance between the endpoints of .JK
4. The midpoint of JK is ( )2, 5 .M One endpoint is ( )4, 2 .J − Find the
coordinates of endpoint K. Find the distance between the endpoints of .JK
Use the diagram to decide whether the statement is true or false.
5. Points G, C, and H are collinear.
6. Plane S and plane T intersect at line m.
7. Points A, B, and C lie on plane T.
8. and CG FE
are opposite rays.
9. Point C lies on plane S and plane T.
10. Plane S is perpendicular to plane T.
Solve the equation.
11. 9 16 7 12x x− = + 12. ( )5 3 2 6 11x x+ = − −
Find the value of x or y. State which theorems or postulates you used.
13. 14.
Find the value of x that makes m n.
15. 16.
Write an equation of the line that passes through the given point and is
(a) parallel to and (b) perpendicular to the given line.
17. ( )2, 1 , 3 2y x− − = − + 18. ( )3, 1 , 0x− =
S TM27 58S M OT 19
47
15
m
G
H
S
T
A
D
CB
F
E
x °(7y − 10)°
(9y + 46)°
113°
x °
m
n 47°
mn
(2x − 7)°
Copyright © Big Ideas Learning, LLC Geometry All rights reserved. Assessment Book
179
Answers
19. See left.
20. See left.
21. See left.
22. See left.
23.
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26.
Post Course Post Course Test (continued)
Name _________________________________________________________ Date __________
Graph triangle MEG with vertices ( ) ( ) ( ) M E G1, 1 , 5, 3 , and 3, 5 and its image
after the translation.
19. ( ) ( ), 1, 2x y x y→ − − 20. ( ) ( ), 3, 6x y x y→ + −
Graph the polygon with the given vertices and its image after a rotation of the
given number of degrees about the origin.
21. ( ) ( ) ( )4, 4 , 5, 1 , 2, 2 ;
180
M L K− − −
°
22. ( ) ( ) ( )( )
0, 0 , 2, 2 , 1, 4 ,
2, 3 ; 270
M E T
S
− − −
− °
Find the measure of each angle.
23. 24.
TU is a midsegment of QRS. Find the value of x.
25. 26.
x
y
4
6
2
−2
4 62−2
x
y4
2
−4
−2
2 4−2−4 x
y4
2
−4
−2
42−2−4
2x °
(x + 17)°(4x − 12)°
A
BD C
2x °
x °E
F
D
x
R
S
T
UQ
32 x °
Q
R S
T U
46°
x
y4
2
−2
−4
4 6 82
Geometry Copyright © Big Ideas Learning, LLC Assessment Book All rights reserved. 180
Answers
27.
28.
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32.
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37.
Post Course Post Course Test (continued)
Name _________________________________________________________ Date _________
Find AC. Identify the theorem you used.
27. 28.
Find the value of each variable in the parallelogram.
29. 30.
Give the most specific name for the quadrilateral. Explain your reasoning.
31. 32.
Determine whether the triangles are similar. If they are, write a similarity
statement.
33.
Find the value of the variable
34. 35.
Find the value of each variable. Round your answers to the nearest tenth.
36. 37.
A
B
C
D
4x + 9 7x − 18
A
B
C
D
4x − 12
2x + 16
3x °y °
108°
A
D F
E
B
C
12 10
6
6
3
7
35
15
x
12
4
9
x
94
w6
7
5.8
5.8
3
3
z
9
56°
b
a67°
c
d
7.7
Copyright © Big Ideas Learning, LLC Geometry All rights reserved. Assessment Book
181
Answers
38.
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Post Course Test (continued) Post Course
Name _________________________________________________________ Date __________
Solve ABC . Round decimal answers to the nearest tenth.
38. 39.
Find the value of the variable or the measure of the numbered angle in P .
40. 41.
Find the value of the variable.
42. 43.
Find the volume of the solid.
44. 45.
Find the indicated measure.
46. mAB 47. Area of shaded sector
4 6
x 4
92
2x + 12x
14 mi
4 mi
15 ft
27.5 ftA
CB
10 m
210°
12
15B
A
C A C
18 m 17 m
B
118°
P
1
37°
P(33x + 3)° 204°
8 mi
8 mi
10 mi
6 mi
Geometry Copyright © Big Ideas Learning, LLC Assessment Book All rights reserved. 182
Post Course Post Course Test Item Analysis
Item Number
Skills
1 finding segment lengths
2 finding segment lengths
3 using Midpoint Formula and Distance Formula
4 using Midpoint Formula and Distance Formula
5 properties of lines and points in planes
6 properties of lines and points in planes
7 properties of lines and points in planes
8 properties of lines and points in planes
9 properties of lines and points in planes
10 properties of lines and points in planes
11 solving equations
12 solving equations
13 working with parallel lines
14 working with parallel lines
15 working with parallel lines
16 working with parallel lines
17 writing equations of lines
18 writing equations of lines
19 transforming polygons
20 transforming polygons
21 transforming polygons
22 transforming polygons
23 properties of triangles
24 properties of triangles
25 properties of triangles
Copyright © Big Ideas Learning, LLC Geometry All rights reserved. Assessment Book
183
Post Course Post Course Test Item Analysis (continued)
Item Number
Skills
26 properties of triangles
27 properties of triangles
28 properties of triangles
29 properties of parallelograms
30 properties of parallelograms
31 properties of parallelograms
32 properties of parallelograms
33 similar triangles
34 similar triangles
35 similar triangles
36 solving right triangles
37 solving right triangles
38 solving triangles
39 solving triangles
40 properties of circles
41 properties of circles
42 properties of circles
43 properties of circles
44 finding volume of a solid
45 finding volume of a solid
46 finding arc length
47 finding sector area