Congruent Figures March 11, 2015

Little Piece of RandomFaye's

What gets more damp the more it dries?

Congruent Figures March 11, 2015

Little Piece of RandomFaye's

A towel!

Congruent Figures March 11, 2015

Lesson 22: Corresponding Parts

Congruent Figures March 11, 2015

Congruent Figures

CONGRUENT

angles

shape

sides

size

Series of RIGID MOTIONS

figures

Congruent Figures March 11, 2015

4-1 Congruent Figures

DEFINITION:Two polygons are CONGRUENT if and only if their VERTICES can be

matched up so that all of their CORRESPONDING PARTS (angles

and sides) are CONGRUENT.

Congruent Figures

Congruent Figures March 11, 2015

4-1 Congruent Figures

Naming Congruent Figures

C

A

T

F

D

E

Congruent Figures

ΔFED ≅ ___________ ΔFDE ≅ ___________ ΔEDF ≅ ___________ ΔDEF ≅ ___________ ΔDFE ≅ ___________ ΔEFD ≅ ___________

Note: ORDER MATTERS!

Congruent Figures March 11, 2015

4-1 Congruent Figures

Name the all the congruent corresponding parts:

1.

2.

3.

4.

5.

6.

Congruent Figures

C

A

T

F

D

E

Note: ORDER MATTERS!

Congruent Figures March 11, 2015

4-1 Congruent Figures

FED ≅ CAT

If m E=95 and m C= 50 , find the measures of all the remaining angles.

Congruent Figures

C

A

T

F

D

E

Example:

Congruent Figures March 11, 2015

A

B

C

FD

E

Third Angle Theorem(Thm. 4-1)

“If two angles of one triangle are congruent to two angles in a second triangle, then the third angles of the triangles are congruent.”

Congruent Figures March 11, 2015

4-1 Congruent FiguresCongruent Figures

Congruent Figures March 11, 2015

4-1 Congruent FiguresCongruent Figures

x = _____

CD = _____

You Try: