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Intro to G.6. Congruent Triangles. Congruent Figures. Congruent figures are two figures that have the same size and shape. IF two figures are congruent THEN they have the same size and shape. IF two figures have the same size and shape THEN they are congruent.

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Intro to g 6

Intro to G.6

Congruent Triangles


Congruent figures
Congruent Figures

Congruent figures are two figures that have the same size and shape.

IF two figures are congruent THEN they have the same size and shape.

IF two figures have the same size and shape THEN they are congruent.

Two figures have the same size and shape IFF they are congruent.


Congruent triangles cpctc

A

C

B

P

R

Q

Congruent Triangles - CPCTC

Corresponding Parts of Congruent Triangles are Congruent

CPCTC:

Two triangles are congruent IFF their corresponding parts (angles and sides) are congruent.

=

Vertices of the 2 triangles correspond in the same order as the trianglesare named.

A ↔ P; B ↔ Q; C ↔ R

Corresponding sides and angles of the two congruent triangles:

=


Congruent triangles

C

B

Z

A

X

Y

Congruent Triangles

 Z

 A  ____

=

 Y

 B  _____

 X

 C  ______

=

Note:

∆ ZYX

∆ABC  ______

∆ABC ∆XYZ

Lesson 4-2: Congruent Triangles


Example…………

When referring to congruent triangles (or polygons), we must name corresponding vertices in the same order.

S

U

N

R

A

Y

R

SUN  RAY

Y

A

N

Also NUS  YAR

U

Also USN  ARY

S


Example
Example ………

If these polygons are congruent, how do you name them ?

P

O

U

N

M

E

S

A

T

R

  • Pentagon MONTA Pentagon PERSU

  • Pentagon ATNOM Pentagon USREP

  • Etc.


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