Name:

5-2 Notes

Term:

Segment Congruence Theorem-

Two segments are congruent if andonly if they have the same length.

Angle Congruence Theorem-

Example:

c L A

CD = AR. If CA = 36 miles find LR

I. By addition Property of Equality, we canadd LA to both sides:

CL + LA = + LA

2. So, if CA=36 miles, LR= miles

<GOV <ANK and bisects <COV.If m<COV = 12x -2 and m<ANK = 8x + 34, find

Two angles are congruent if and only ifthey have the same measure.

Corresponding Parts in CongruentFigures (CPCF) Theorem-

If two figures are congruent, then anypair of corresponding parts arecongruent.

m<GOV =m<ANK

Given:a. List the corresponding angles and sides.b. Sketch a possible situation and mark thecongruent angles and sides.

To z CA

to Lesson 5-2

Name

Lesson Master

Objective A

Answer Page

Questions on SPUR ObjectivesSee Student Edition pages 302—305 for objectives.

In 1 and 2, assume that the figures that appear to be congruent are

congruent. Complete the congruence statement. Be sure to put the

vertices In the correct order.

1. AABC=A 2. QUAD

c

Q D

In 3 and 4, suppose APQR AFGC.

3. Name three pairs of congruent sides.

4, Name three pairs of congruent angles.

Co

In 5 and 6, refer to the figure at the right. ALH = rv 0 ru(BMl). u

AH = 7 cm, AL = 3 cm, 1M = 5.5 cm, mZA = 42, andma = 23.

5. Find the perimeter of AALH.

7+3+5S=H

6. Find the mZB and mZH. 1

m z 23

o Objective F

In 7—10, give a definition, postulate, or theorem that justifies thestatement.

7. If BTW, then ZG ZU.

8. If AB = xy, then AB XY.

9. If ZIC ZP, then mZK = mZP.

10. IfGHIJ= YX.

Geometry 227

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Name

Lesson Master

SKILLS Objective A1. Atthe right, rh(ABOC) = AVMX, 12,

mZX = 117, mZM = 27, and mZV= 36.

a. Which side of ABOC has length 6?

b. Which angle of ABOC has measure 36?

Answt

Questions on SPUR ObjectivesSee Student Edition pages 302—305 for objectives.

6, 8, h

c

xB

2. At the right, HJ and 1K bisect each other, I-IJ= 1KIf HJ = 18 + 4e, find each length.

H

a. 1K

3. At the right, ZPYA ZXYM. IfmZXYA = 24, find mZPYM.

x

4. At the right,fibisects ZDOCand ZBOT, and mZBOK= 31Find the measure of each angle.

31a. ZNOC

b. ZDOC

c. ZDON

d. ZTOC

228 Geometry

c

) 80o

Answer Pag

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Name

pag5-2B

PROPERTIES Objective F

5. AASK A WHY.

a. At the right, draw a diagram for this situation. sMark the congruent parts.

b. List six pairs of congruent parts.

6. Assume the triangles at the right are congruent. Write an

appropriate congruence statement with he vertices in the

correct order.

D

7. At the right, AABC ASEH. If BC = 9, can you conclude that

SH = 9? Why or why not?

8. a.

b.

O

9. a.

b.

cnodü ace

PVC.) c

Multiple Choice Given mZJKE = mZDSR, what can you conclude?

rnZJKE mZDSR B ZJKE= ZDSR C LJKE= ZDSR

Which theorem justifies the conclusion in Part a?

Multiple Choice Given UN TE, what can you conclude?

UN=TE B tjN=TÉ C UN=TE

Which theorem justifies the conclusion in Part a?

Geometry 229