Lesson Masters B

Home Answers

Name

LESSON MASTER

5-2 B

Questions on SPUR Objectives

Skills Objective A: Identify and determine measures of parts of congruent figures. 1. At the right, draw and label a segment FG such that FG > AB. A

G F

B

2. At the right, draw and label an angle ∠X such that ∠X > ∠U.

U

X

UCSMP Geometry © Scott, Foresman and Company

3. At the right, HJ and IK bisect each other, HJ > IK. If HJ 5 18 1 4e, find each length.

I H G

a. IK

J

b. HG K

c. GI 4. At the right, ∠PYA > ∠XYM. If m∠XYA 5 24, find m∠PYM.

P M A

Y X

67

©

Home Name ©

L E S S O N M A S T E R 5-2B page 2

← → 5. At the right, NK bisects ∠DOC and ∠BOT, ∠DOC > ∠BOT, and m∠BOK 5 31. Find the measure of each angle.

N

D

C

a. ∠NOC O

b. ∠DOC

B

c. ∠DON

K

T

d. ∠TOC Properties Objective E: Make and justify conclusions about congruent figures. In 6– 8, choose the statement that illustrates the given property. (a) If ∠PQR > ∠XYX, then ∠XYZ > ∠PQR.

6. Reflexive Property of Congruence

(b) AB > AB

7. Symmetric Property of Congruence

(c) If m∠M > m∠W, and m∠W > m∠G, then m∠M > m∠G.

8. Transitive Property of Congruence

9. a. Multiple choice. Which phrase below may be substituted for UN > TE. (i) UN > TE

(ii) UN 5 TE

(iii) UN 5 TE

b. Which theorem justifies Part a?

10. a. Multiple choice. Which phrase below may be substituted for m∠JKE 5 m∠DSR? (i) m∠JKE > m∠DSR

(ii) ∠JKE > ∠DSR

b. Which theorem justifies Part a?

68

(iii) ∠JKE 5 ∠DSR

UCSMP Geometry © Scott, Foresman and Company

Answers