Proving Triangles Congruent - Learning Resource Center

[Pages:34]Proving Triangles Congruent

The Idea of a Congruence

IF Two triangles are congruent, then the corresponding parts of the two trianglesF are congruent

B

A

C

ED

They are

Congruent

They Look Pretty Similar

F B

A

C

ED

But, HOW DO YOU KNOW?

Congruence

Are These Triangles Congruent?

F

B

A

C

ED

Are the parts of each triangle congruent?

THE RULE IS! If the corresponding parts in each triangle are congruent to

each other, thenF

B

A

C

ED

The triangles are Congruent!

SO, YOU HAVE TO COMPARE THE PARTS

B E

A

D C

F

PARTS OF A TRIANGLE

Every triangle is made from 3 lines and 3 angles

The Lines are: AB, BC , AC The Angles are: A, B, C

B

A

C

Corresponding Parts

If all six pairs of corresponding parts (sides and angles) are congruent, then the triangles are congruent.

1. AB DE 2. BC EF 3. AC DF 4. A D 5. B E 6. C F

ABC DEF

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