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CP Geometry
Unit 2 Midtest Review
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Period
Date
Topic 1: Vertical Angles and Linear Pairs
Use the diagram below to answer the questions that follow.
1. If m  3 = 42o, what is the m  6?
m  BHD = m  CHE = m  EHF = 90o.
2. If m  BHE = 142o, what is the m  1?
3. If m  1 = 37o, what is the m  6?
4. If m  EHG = 132o, what is the m  7?
5. If m  7 = 51o, what is the m  3?
6. If m  EHB = 153o, what is the m  2?
Topic 2: Complementary/Supplementary Angles
7.  C and  D are supplementary. The measure of  D is eight times the measure of  C.
Find m  C and m  D.
8.  ABD and  DBC are complementary as shown below. Find the measure of the angles.
9. The supplement of an angle is 10 more than 5 times its complement. Find the measure of the
angle.
10. The supplement of an angle is six times its complement. Find the measure of the
supplement of the angle.
Topic 3: Transitive Property
11. AB  BC and BC  CD . Solve for x and y.
12. ABC  CBD and BCD  DBC . m  ABC = (7x+3)o, m  BCD = (48-2x)o , and
m  D = (20x+4)o. Solve for x.
Topic 4: Congruent Complements/Supplements
13.  BED and  EDC are supplementary. Solve for x.
14.  WQY and  XQZ are right angles. m  WQX = (x2 – 3x)o and m  ZQY = (3x + 7)o.
Solve for x and m  XQY.
15.  A is complementary to  ADB.  ABD is complementary to  DBC. m  ABD = (15+4x)o,
m  A = (6x+1)o, and m  DBC = (y2-2)o. Solve for x, y, and m  ADB.
Topic 5: Slope of Parallel/Perpendicular Lines
16. Find the slope between (6, 2) and (3, 11).
17. Find the slope between (-2, 4) and (-9, -10).
18. Given G(-3, 2), H(4, 3), Q(-4, 6), and R(3, 5); determine whether RQ || GH .
Topic 6: Equations of Parallel/Perpendicular Lines
19. Write the equation of a line that passes through (9, -5) and is parallel to the line:
y = (2/3)x - 10.
20. Write the equation of a line that passes through (-7, 0) and is perpendicular to the line:
y = (-1/6)x - 11.
21. Find the equation of a line that passes through (6, -2) and is parallel to y = 3x - 54.
22. Find the equation of a line that passes through (6, -2) and is perpendicular to y = 3x - 54.
Chapter 2: Midtest Review Solutions
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42o
38o
37o
48o
39o
63o
m  C = 20o, m  D = 160o
m  ABD = 65o, m  DBC = 25o
70o
108o
x = 5, y = 4.75
x=5
x=5
x = 7, m  XQY = 62o
x = 7, y = 7 or -7, m  ADB = 47o
-3
2
No
y = (2/3)x – 11
y = 6x – 42
y = 3x – 20
y = (-1/3)x