# Use the Number Line at the Right for Exercises #2

Name

Class

Date

1-3, 1-4, and 1-5Quiz Review

**Find the length of the segment given. **

1.

**Use the number line at the right for Exercises #2.**

2. IfGH=31andHI=11,thenGI=.

3. Algebra *GH = 7y + 3, HI = 3y −5, and GI = 9y +* 7.

a.Whatisthevalueofy? (show your work!)

b.FindGH,HI,andGI.

**For Exercises 4-5, use the figure below. Find the value of KL.**

4. KL = 3x + 2 and LM = 5x − 10

5. KL = 4x + 7 and LM = 5x − 4

**On a number line, the coordinates of D, E, F, G, and H are −9, −2, 0, 3, and 5, respectively. Find the lengths of the two segments. Then tell whether they are congruent.**

6. and

7. and

**Suppose the coordinate of P is 2, PQ =8, and PR =12. What are the possible coordinates of the midpoint of the given segment** ?

**8.Midpoint of segment** =

9. Suppose point J has a coordinate of −2 and JK = 4. What are the possible coordinates of point K?

**Algebra Use the diagram at the right for Exercises 10-12.**

10. If*NO=17andNP=5x−6,findthevalueofx. Then find NP and OP.*

11. If*NO=3x+4andNP=10x−10,findthevalueofx. Then find NO, NP, and OP.*

12. VocabularyWhat term describes the relationship between and

**Name the shaded angle in three different ways. To start, identify the rays that form each angle.**

13.

**Use the diagram below. Find the measure of each angle. Then classify the angle as acute, right, obtuse, or straight.**

14.AFB

To start, identify AFB. Then use the definition of the measure of an angle to find mAFB.

mAFB =

This angle is a(n) angle.

15.CFD

16.AFE

17.AFC

**Use the diagram at the right. Complete each statement.**

18. PMJ

19. IfmLMP=100,thenmQHG= .

20. If *mFHI = 142, what are mFHG and mGHI?*

21. JKL is a right angle. What are mJKM and mMKL?

**Algebra Use the diagram at the right for Exercise 22. Solve for x. Find the angle measures to check your work.**

22.*mCGD = 2x − 2, mEGF = 37, mCGF = 7x +* 2

**Use the diagram at the right. Is each statement true? Explain.**

23. 6 and 5 are adjacent angles.

24. 1 and 2 are a linear pair.

**Name an angle or angles in the diagram described by each of the following.**

25.a pair of vertical angles

26.supplementary to RPS

To start, remember that supplementary angles are two angles whose measures have a sum of

27.apairofcomplementaryangles

To start, remember that complementary angles are two angles whose measures have a sum of.

28.adjacenttoTPU

**For Exercises 8–11, can you make each conclusion from the information in the diagram? Explain.**

29. CEGFED30.

31. BCEBAD32. ADBandFDEareverticalangles.

**Use the diagram at the right for Exercises 33 and 34.**

33. Nametwopairsofanglesthatformalinearpair.

34. Nametwopairsofanglesthatarecomplementary.

35.Algebra In the diagram, bisects WXZ.

a.Solve for x and find mWXY.

b.Find mYXZ.

c.Find mWXZ.

Algebra **bisects PQS. Solve for x and find mPQS.**

36.mPQR = 3x, mRQS = 4x − 9

37.mPQR = 5x − 4, mSQR = 3x + 10