Congruent Triangle Proofs

Front

What is the SSS Congruence Postulate?

Back

The SSS (Side-Side-Side) Congruence Postulate states that 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 ASA Congruence Postulate?

Back

The ASA (Angle-Side-Angle) Congruence Postulate 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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AAS Congruence Theorem?

Back

The AAS (Angle-Angle-Side) Theorem 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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS Congruence Postulate?

Back

The SAS (Side-Angle-Side) Congruence Postulate 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.

Tags

CCSS.HSG.SRT.B.5

Front

What does CPCTC stand for?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of congruent triangles?

Back

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

Tags

CCSS.8.G.A.2

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself.

Tags

CCSS.HSG.SRT.B.5

Front

What are Vertical Angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Tags

CCSS.7.G.B.5

Front

What is the significance of Alternate Interior Angles?

Back

Alternate Interior Angles are congruent when two parallel lines are cut by a transversal.

Tags

CCSS.8.G.A.5

Front

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

Back

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

Tags

CCSS.HSG.SRT.B.5