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7 Cards in this Set

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  • Back

Congruent Triangles

There are five ways to prove that triangles are congruent,without having to have all 6 corresponding parts.




Postulates:SSS,SAS,ASA


Theorems:AAS,HL

ssa (SIDE-SIDE-SIDE)Postulate

3 sides if 1 triangles are congruent to the 3 sides of another triangle,then the triangles are congruent

SAS (SIDE-ANGLE-SIDE) Postulate

If two sides and included angle of 1 triangle are congruent to 2 sides and the included angles of another triangle,then the triangles are congruent

ASA (ANGLE-SIDE-ANGLE)postulate

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle,then the triangles are congruent.

AAS (ANGLE-ANGLE-SIDE) theorem

If two angles and a non-included side of one triangle are congruent to two angles the corresponding non-included side of another triangle


then the triangles are congruent.

Right triangle can be


congruent

They can be congruent by SSS,SAS,ASA,AAS AND 1 MORE (HL) that only works with right triangles.

HL (hypotenuse-leg) Theorem

If the hypotenuse and a leg of a triangle are congruent to the hypotenuse and the corresponding leg of another right triangle ,the triangles are congruent.