Basic Mathematics for College Students

10.

11.

12.

13. Name the six corresponding parts of the congruent
    triangles shown below.


14. Name the six corresponding parts of the congruent
    triangles shown below.

Fill in the blanks.

15. Two triangles are if and only if their
    vertices can be matched so that the corresponding
    sides and the corresponding angles are congruent.


16. SSS property: If three of one triangle are
    congruent to three of a second triangle, the
    triangles are congruent.


17. SAS property: If two sides and the between
    them in one triangle are congruent, respectively, to
    two sides and the between them in a second
    triangle, the triangles are congruent.

S

T

E

3 in. 4 in.

4 in. 3 in.

5 in. 5 in.

R F G

Z A

Y

RB

T

D

B

T

C A

3

10

48

5 6

E

 TAC

R

T

S

M

O

N

RST

B

C

A

F

E

D

  DEF 18. ASA property: If two angles and the between

them in one triangle are congruent, respectively, to

two angles and the between them in a second

triangle, the triangles are congruent.

Solve each proportion.

19. 
    
    
    
    20. 
        
    
    
    
    


20. 
    
    
    
    22. 
        
    
    
    
    

Fill in the blanks.

23. Two triangles are similar if and only if their vertices
    can be matched so that corresponding angles are
    congruent and the lengths of corresponding sides are
    .


24. If the angles of one triangle are congruent to
    corresponding angles of another triangle, the triangles
    are.


25. Congruent triangles are always similar, but similar
    triangles are not always.


26. For certain application problems, similar triangles and
    can be used to find lengths that would
    normally be difficult to measure.

NOTATION

Fill in the blanks.

27. The symbol is read as “ .”


28. The symbol is read as “ .”


29. Use tick marks to show the congruent parts of the
    triangles shown below.


30. Use tick marks to show the congruent parts of the
    triangles shown below.

LF

P

RS

T

P  T LP  RT FP  ST

K M

R

H E

J

K  H KR  HJ M  E





11.2

4



h

6

h

2.6



27

13

5

8



35

x

x

15



20

3

762 Chapter 9 An Introduction to Geometry