Basic Mathematics for College Students

Tell whether the triangles are similar.See Example 5.

41. 
    
    
    
    42. 
        
    
    
    
    


42. 
    
    
    
    44. 
        
    
    
    
    

45.

46.

47. 
    
    
    
    48. 
        
    
    
    
    


48. 
    
    
    
    50. 
        
    
    
    
    


49. 
    
    
    
    52. 
        
    
    
    
    

In Problems 53 and 54,. Find and.

See Example 6.

53. S

MN

y

21

28

P

TR

x

6

10

MSNTPR x y

QR

S

TU

Z X

D Y

E

XYZD QRTU

70 ° 40 ° 40 ° 70 °

54.

In Problems 55 and 56,. Find and.

See Example 6.

55. 
    
    
    
    56. 
        
    
    
    
    

TRY IT YOURSELF

Tell whether each statement is true. If a statement is false, tell

why.

57. If three sides of one triangle are the same length as
    the corresponding three sides of a second triangle, the
    triangles are congruent.


58. If two sides of one triangle are the same length as two
    sides of a second triangle, the triangles are congruent.


59. If two sides and an angle of one triangle are congruent,
    respectively, to two sides and an angle of a second
    triangle, the triangles are congruent.


60. If two angles and the side between them in one
    triangle are congruent, respectively, to two angles
    and the side between them in a second triangle, the
    triangles are congruent.

Determine whether each pair of triangles are congruent. If they

are, tell why.

61. 
    
    
    
    62. 
        
    
    
    
    


62. 
    
    
    
    64. 
        
    
    
    
    

40 ° 40 °

6 yd 6 yd

40 °

40 °

M S

32

18

40

P 24

N

T

y

x

M

S

50

57

75

40

P

N

T

y

x

MSNTPN x y

S

P

T

R

M

N

y

(^12) x
6
6
4
764 Chapter 9 An Introduction to Geometry