SSS and SAS Proofs

Front

What is SSS Congruence?

Back

SSS Congruence states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is SAS Congruence?

Back

SAS Congruence states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What does the Reflexive Property state?

Back

The Reflexive Property states that any geometric figure is congruent to itself, meaning AB ≅ AB.

Front

What is the Transitive Property of Congruence?

Back

The Transitive Property states that if figure A is congruent to figure B, and figure B is congruent to figure C, then figure A is congruent to figure C.

Front

What is ASA Congruence?

Back

ASA Congruence states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What is AAS Congruence?

Back

AAS Congruence states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

What is HL Congruence?

Back

HL Congruence applies to right triangles and states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

How do you prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, show that all three pairs of corresponding sides are equal in length.

Front

How do you prove triangles are congruent using SAS?

Back

To prove triangles are congruent using SAS, show that two pairs of corresponding sides and the angle between them are equal.