Basic Mathematics for College Students

D

C

A

B

E

1

2

5 cm

5 cm

4 cm 4 cm

C

A D

B

F

E

GUIDED PRACTICE

Name the six corresponding parts of the congruent triangles.
See Objective 1.

31. 
    

32. 
    

33. Refer to the figure below, where.

a. Name the six congruent corresponding parts of the

triangles.See Example 1.

b. Find.

c. Find.

d. Find.

34. Refer to the figure below, where.

a. Name the six congruent corresponding parts of the

triangles.See Example 1.

b. Find.

c. Find.

d. Find.

D

CS

3 in.

2 in.

60° 66°

54°

GT R

m(ST)

m(DG)

m(R)

DCG  RST

B

C

N

9 ft

10 ft

72°

49°

D O M

m(CD)

m(MO)

m(N)

BCD  MNO

 1 

B 

D 

AC 

EC 

AB 

F 

E 

A 

BC 

DE 

AC 

Determine whether each pair of triangles is congruent. If they are,

tell why.See Examples 2 and 3.

35. 
    
    
    
    36. 
        
    
    
    
    


36. 
    
    
    
    38. 
        
    
    
    
    


37. Refer to the similar triangles shown below.
    See Example 4.
    a. Name 3 pairs of congruent angles.
    b. Complete each proportion.

c. We can write the answer to part b in a more

compact form:

40. Refer to the similar triangles shown below.
    See Example 4.
    a. Name 3 pairs of congruent angles.
    b. Complete each proportion.

c. We can write the answer to part b in a more

compact form:

X

Y

W

E

D

F

DF



YX



WX

EF



WY

DF

WX



YX

FE

WY

DF



FE

LR

M

H E

J

LM



MR



HE

HJ



LR

HE

MR

JE



HE

LM

HJ



JE

6 m

6 m

5 cm 5 cm

6 cm 6 cm

3 cm

3 cm

5 cm

5 cm

6 cm

6 cm

9.5 Congruent Triangles and Similar Triangles 763