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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