Page 706 - Basic College Mathematics with Early Integers

Definitions and Concepts Examples

Section 9.6 Congruent and Similar Triangles

Congruent triangles have the same shape and the same A D
size. Corresponding angles are equal, and corresponding 3 5 3 5
sides are equal.
B 6 C E 6 F
Congruent triangles
D
A 12
Similar triangles have exactly the same shape but not 4
3 9
necessarily the same size. Corresponding angles are C F
equal, and the ratios of the lengths of corresponding B 6 18
E
sides are equal.
Similar triangles
AB 3 1 BC 6 1
= = , = = ,
DE 9 3 EF 18 3
CA 4 1
= =
FD 12 3

Chapter 9 Review

(9.1) Classify each angle as acute, right, obtuse, or straight.

1. 2. 3. C 4.
B

A D

5. Find the complement of a 25° angle. 6. Find the supplement of a 105° angle.

Find the measure of angle x in each figure.
7. 8. 9. 10.

20
32 105
82
x x 45
x x 15

11. Identify the pairs of supplementary angles. 12. Identify the pairs of complementary angles.
A C
133 T
58
b S 32
47 a c 47 V
d y z
47 43
133 x w
D F P Q R

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