4-1: Congruent Figures

Congruency

Congruent figures have the same size and shape.

Congruent Polygons

-Congruent polygons have congruent corresponding parts – their matching sides and angles.

X

A

B

C

Q

R

Y

P‹X ‹Y

‹B ‹Q

‹C ‹R

‹A ‹P

=~

=~

=~

=~

‹XB ‹YQ

‹BC ‹QR

‹CA ‹RP

‹AX ‹PY

=~

=~

=~

=~XBCA YQRP=~

Corresponding Angles and Sides?

A

B C

D

E

F

G

H‹A ‹G

‹D ‹H

‹C ‹E

‹B ‹F

=~

=~

=~

=~

‹AD ‹GH

‹DC ‹HE

‹CB ‹EF

‹BA ‹FG

=~

=~

=~

=~

ADCB GHEF=~

Solving for a variable.

C A

PS

E

R W

B

DT88°

132°

x

132°

88°

5 sides

-2

= 3 * 180 = 540° total in the shape. 90 + 90 + 132 + 88 + x = 540

400 + x = 540

x = 140°