Congruent Triangles (SSS, SAS, ASA, AAS, HL)

Front

What does CPCTC stand for?

Back

Corresponding parts of congruent triangles are congruent.

Tags

CCSS.HSG.CO.B.7

Front

What is the SSS congruence theorem?

Back

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS congruence theorem?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the ASA congruence theorem?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the AAS congruence theorem?

Back

If two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the HL congruence theorem?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

How can you prove triangles are congruent using the SSS theorem?

Back

By showing that all three corresponding sides of the triangles are equal.

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove triangles are congruent using the SAS theorem?

Back

By showing that two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove triangles are congruent using the ASA theorem?

Back

By showing that two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle.

Tags

CCSS.HSG.SRT.B.5