post course test - pathway

Geometry Copyright © Big Ideas Learning, LLC Assessment Book All rights reserved. 178

Answers

1.

2.

3.

4.

5.

6.

7.

8.

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17. a.

b.

18. a.

b.

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.

24.

25.

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


Answers

27.

28.

29.

30.

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33.

34.

35.

36.

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


181

Answers

38.

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47.

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


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






11 solving equations

12 solving equations

13 working with parallel lines




17 writing equations of lines

18 writing equations of lines

19 transforming polygons




23 properties of triangles




183

Post Course Post Course Test Item Analysis (continued)

Item Number

Skills




29 properties of parallelograms




33 similar triangles



36 solving right triangles

37 solving right triangles

38 solving triangles

39 solving triangles

40 properties of circles




44 finding volume of a solid

45 finding volume of a solid

46 finding arc length

47 finding sector area

post course test - pathway

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