Topic 1: Vertical Angles and Linear Pairs

CP Geometry Name

Unit 2 Midtest Review Period Date

Topic 1: Vertical Angles and Linear Pairs

Use the diagram below to answer the questions that follow.

1. If m3 = 42o, what is the m6?
2. If mBHE = 142o, what is the m1?
3. If m1 = 37o, what is the m6?
4. If mEHG = 132o, what is the m7?
5. If m7 = 51o, what is the m3?
6. If mEHB = 153o, what is the m2? / mBHD = mCHE = mEHF = 90o.

Topic 2: Complementary/Supplementary Angles

7. C and D are supplementary. The measure of D is eight times the measure of C.

Find mC and mD.

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. and . Solve for x and y.

12. and . mABC = (7x+3)o, mBCD = (48-2x)o , and

mD = (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. mWQX = (x2 – 3x)o and mZQY = (3x + 7)o.

Solve for x and mXQY.

15. A is complementary to ADB. ABD is complementary to DBC. mABD = (15+4x)o,

mA = (6x+1)o, and mDBC = (y2-2)o. Solve for x, y, and mADB.

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 ||.

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

1.  42o

2.  38o

3.  37o

4.  48o

5.  39o

6.  63o

7.  mC = 20o, mD = 160o

8.  mABD = 65o, mDBC = 25o

9.  70o

10.  108o

11.  x = 5, y = 4.75

12.  x = 5

13.  x = 5

14.  x = 7, mXQY = 62o

15.  x = 7, y = 7 or -7, mADB = 47o

16.  -3

17.  2

18.  No

19.  y = (2/3)x – 11

20.  y = 6x – 42

21.  y = 3x – 20

22.  y = (-1/3)x