6.4 Similar and Congruent Figures

Similar Figures - two figures that have the same shape but not necessarily the same sizeWe use this symbol to show figures are similar corresponding angles are congruentcorresponding sides are proportional

Corresponding parts - are sides or angles that have the same relative position

Congruent figures ( )- figures that have the same shape and size; corresponding sides and angles are congruent.

A

B C

D

E F

1.) Which side is corresponding to ?

2.) Which side is corresponding to ?

3.) Which side is corresponding to ?

Find the corresponding sides and angles.

4.) Which angle corresponds to ?

5.) Which angle corresponds to ?

6.) Which angle corresponds to ?

Sometimes the figures are turned around. Find the corresponding sides of the figures.

F A

NT

R I

3.) Which side is corresponding to ?

2.) Which side is corresponding to ?

1.) Which side is corresponding to ?

4.) Which angle corresponds to ?

5.) Which angle corresponds to ?

6.) Which angle corresponds to ?

2.)

1.)

The figures are similar. Find the ratio of the lengths of the corresponding sides.

3.)

c.

Determine if the two rectangles are similar.

35 yds

14 yds

70 yds

40 yds

4.)

Demonstrate Understanding

2.) The figures to the right are similar. Find the ratio of lengths of the corresponding sides of figure A to figure B.

3.) 4.)

5) 6.)