Congruent Triangle Proofs

Front

What are congruent triangles?

Back

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

Tags

CCSS.8.G.A.2

Front

What is the SSS (Side-Side-Side) Congruence Postulate?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS (Side-Angle-Side) Congruence Postulate?

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 (Angle-Side-Angle) Congruence Postulate?

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 (Angle-Angle-Side) Congruence Theorem?

Back

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 triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the HL (Hypotenuse-Leg) Congruence Theorem?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What are vertical angles?

Back

Angles that are opposite each other when two lines intersect; they are always congruent.

Tags

CCSS.7.G.B.5

Front

What is the Reflexive Property?

Back

A property stating that any geometric figure is congruent to itself, used in proofs.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of a midpoint?

Back

A point that divides a segment into two equal parts.

Tags

CCSS.HSG.GPE.B.6

Front

What is the significance of alternate interior angles?

Back

When two parallel lines are cut by a transversal, the alternate interior angles are congruent.

Tags

CCSS.8.G.A.5