Download Chapter 2 Reveiw

Math 11F
Chapter 2 Review Booklet
Geometry
Name:____________________
Multiple Choice:
1. In which diagram(s) is AB parallel to CD?
1.
a.
b.
c.
d.
1)_____
2.
Choice 1 only
Choice 2 only
Choice 1 and Choice 2
Neither Choice 1 nor Choice 2
2. Which angle property proves EFS = 28°?
a.
b.
c.
d.
alternate exterior angles
supplementary angles
alternate interior angles
corresponding angles
3. Which are the correct measures of the indicated angles?
a.
b.
c.
d.
2)_____
w = 146°, x = 44°, y = 146°
w = 134°, x = 46°, y = 46°
w = 136, x = 44°, y = 136°
w = 116°, x =64°, y = 64°
3)_____
4. Which are the correct measures for OJK, JKO, and JOK?
4)_____
a. OJK = 102°, JKO = 28°, and JOK = 50°
b. OJK = 152°, JKO = 18°, and JOK = 10°
c. OJK = 117°, JKO = 28°, and JOK = 35°
d. OJK = 117°, JKO = 36°, and JOK = 37°
5. Which are the correct measures of the interior angles of CDE?
5)_____
a.
b.
c.
d.
DCE = 46°, CDE = 101°, and CED = 33°
DCE = 32°, CDE = 83°, and CED = 65°
DCE = 76°, CDE = 91°, and CED = 13°
DCE = 56°, CDE = 101°, and CED = 23°
6. Which are the correct measures for WXZ, UZY, and VYX?
a.
b.
c.
d.
WXZ and UZY cannot be determined; VYX = 120°
WXZ, UZY, and VYX cannot be determined.
WXZ cannot be determined; UZY = 120°, VYX = 120°
WXZ = 120°, UZY = 120°, and VYX =120°
6)_____
7. Determine the sum of the measures of the angles in a 9-sided convex polygon.
a.
b.
c.
d.
7)_____
1720°
1440°
1080°
1260°
8. The sum of the measures of the interior angles of a convex polygon is S.
Which expression results in the number of sides of the polygons?
8)_____
a.
b.
c.
d. 180°(S – 2)
9. Determine the value of d.
a.
b.
c.
d.
48°
36°
52°
42°
9)_____
Short Answer:
10. Determine the values of a, b, and c.
a)_____
b)_____
c)_____
Use the following diagram for the next 2 questions
11. Determine the measure of ABF.
11)_____
12. Determine the measure of BEF.
12)_____
Use the following diagram for the next 3 questions. Find the following angles and give a reason.
13. Determine the measure of PQR.
13)_____
_____________________
14. Determine the measure of PQT.
14)_____
_____________________
15. Determine the measure of QRS
15)_____
_____________________
16. Given QP || MR, determine the measure of MQO.
16)_____
17. Determine the value of x.
18. Determine the value of x.
17)________
18) _______
19. Determine the sum of the measures of the angles in a 18-sided convex polygon.
Show your calculation.
19)_______
20. Each interior angle of a regular convex polygon measures 150°.
How many sides does the polygon have?
20)_______
21. Determine the value of b and c.
b = _______
c = _______
22.Are BD and FE parallel? Explain how you know.
___________________________
___________________________
___________________________
___________________________
23. Given LM || JK and LMJ = KMJ, prove JK = KM.




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Reason:



LMJ = KMJ
Given




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

LMJ = MJK
Alternate angles



LMJ = LJM
Transitive property
______________
_________________________
24. Prove: FG || HI

Proof:
Proof:
 FHG + GHI + IHJ= 180°
94° + GHI + 73° = 180°
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
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Reason:
____________________
Substitute known values.
 GHI = 180° – 94° – 73°
Determine GHI.
 = 13°
after calculations
GHI = FGH
Both = 13°
___________________
equal alternate interior angle
