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. IfNO=17andNP=5x−6,findthevalueofx. Then find NP and OP.
11. IfNO=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