Title: Lesson 13-6
Author: mark_cameron
Last saved by: The McGraw-Hill Companies
Company: McGraw-Hill

Lesson 8-2

Identify Similar and Congruent Figures
a. Tell whether the pair of figures is congruent, similar, or neither.

The figures have the same shape but not the same size. They are similar.

b. Tell whether the pair of figures is congruent, similar, or neither.

The figures have the same size and the same shape. They are congruent.

For Example 2 Name Corresponding Parts
c. [Real World] WINDOWS   The two windows shown are congruent rectangles. What side of rectangle ABCD corresponds to ?

Corresponding sides represent the same side of congruent figures. So,  corresponds to .

For Example 3 Find Missing Length

d. CDEF LMNO. What is the missing measurement?

L

M

N

O

3

9

x

2 inin

C

F

D

E

 

The corresponding sides of similar triangles are proportional. Set up a proportion to find the missing EF.

		Set up a proportion.

			Substitute known values.

3x = 2 · 9		Find cross products.

3x = 18		Multiply 2 and 9.

(3x) ÷ 3 = 18 ÷ 3	Divide each side by 3.

x = 6			Divide 18 by 3.

EF has a length of 6 inches.