GEOMETRYSUPPORT UNIT 1 FINAL EXAM REVIEW

Name Date

In each box below, DEFINE the term and DRAW A PICTURE to represent the vocabulary term•

Complementary angles Supplementary angles

30

= q00

Segment Bisector

Transversal

Corresponding Angles

Midpoint

Alternate Interior Angles

Same Side Interior Angles

Linear Pair

50

Parallel Lines

Alternate Exterior Angles

Same Side Exterior Angles

GEOMETRY SUPPORT UNIT 1 FINAL EXAM REVInw

TOPIC 1: Basics of Geometry

For problems 1-3, name the types of angles (complementary, supplementary, or vertical) qnd find b.

2.

130_ 02

b

4.. In the diagram below, Zl and Z2 are alinear pair. find mZl if mZl=2x — 9 and mZ2=10x + 9.

2

6. Solve for z.

(32 +

3.

qo

13 29 b

73

5. Find mZ4 in the diagram below ifmZ2 = 8x + 6 and mZ4 = 5x + 21

4 2

3

7. Solve for x.

620

EOMETRYSUPPORT UNIT 1 FINAL EXAM REVIEWOPIC 2: Segment and Anale Relationships

1. Find the missing segment length. 2.

20 Find KL9

32 26

3. 4. B is the midpoint of segment AC.

12

49

31

Find GF -5.

17

7

6.

B

QB is the aryle bisector of ZAQC.

mZAQB = 5x

muBQC = 8x 24

Find the followirg:

mzAQB :tnzBQC mZAQC

A 2x-8 B x+17

BC =

7. ZABC has been bisected.

mZABD = -7, mZDBC = 9x-16

Find the following:

mZABb

mZbBC =

GEOMETRY SUPPORT UNIT 1 FINAL EXAM REVIEWTOPIC 3—ParaIIeI Line Relationships and ProofsFor problems 1-5, name the types of angles listed (alt ext, alt int, same side ext, same side int, corresponding)

2l) Zl and Z 8 2) Z3and Z 5 3) Z 4 and Z 5

ALT- r-

4) Z3and Z7 5) Z2and Z8

Corr SSC

If p q and mzl = 750, find the measures of all the angles formed bythe parallel lines cut by the transversal.

mal = tnz2 =p

mZ3 = mz4 = 10 S

q mz5 = 750 mz6 =

mz7 mL8 = 103

l. Ifthe mathe mL6?

4. If the mz7mal?

Given: 2) = —3x + 29

Prove: x = 3

2.

3. 7x +8 = 29

4. 7x-al5.

= 1130, what is

= 750, what is the

Reqsons

Given

2. If the mz4 —- 1000, isthe mz6?

loo

5. If the mz3 = 810, what is themz4?

qq0

Subtraction Property

SUPPORT UNIT 1 FINAL EXAM

OPIC 4—SoIvinq Parallel Line Equations

Solve for x:

1)

OK+4

201-6

3)

2)

( 801320

221

4)

950

161- 1

6)

5) % + 16k21x=4

I 17x

10

8)

7)

16X+817X+1

GEOMETRY SUPPORT UNIT 1 FINAL EXAM REVIEW

TOPIC 5--Anqle Addition

1) mcSQR = 310 and 700. 2) mcVUT= 1800 and mZVUG= 200

Find Find m-GUT.

20 +

3) mz1GF= 1400, 2, 4) tnzTMN=2x+ 18, mz-LMN= 131 0,

12x+22. Findx. and mz-LMT= 8x- 7. Find x.

131 -zH G

5) Find x ifm-MTU= 560 , m-STM=4x, 6) Find mzSML ifm-NMS= 6x- 11,

and m-STU= 9x+ 11. = 1700, and mcSML= -6.

s(DR—I I flIÅ4¯ 196

M L

7) Find ifm-KLD = 26x - 3, 8) meUVE= 820 , mcEVW= 23x +2.mzKLM= 1700 , and 31x +2. and mZUVW= 43x +4. Find EPW.

(-13 y+c(

L D