Congruent Triangle Proofs

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 does the Reflexive Property state?

Back

Front

What are the criteria for triangle congruence?

Back

The criteria for triangle congruence are: SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and SSS (Side-Side-Side).

Tags

CCSS.HSG.SRT.B.5

Front

Which triangle congruence criterion is NOT valid?

Back

SSA (Side-Side-Angle) is NOT a valid criterion for proving triangle congruence.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS congruence criterion?

Back

SAS 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 triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the ASA congruence criterion?

Back

ASA 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 triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AAS congruence criterion?

Back

AAS states that 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 SSS congruence criterion?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the Midpoint Theorem?

Back

The Midpoint Theorem states that the segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

Tags

CCSS.HSG.SRT.B.4

Front

How can you prove that two triangles are congruent using the Reflexive Property?

Back

You can prove that two triangles are congruent by showing that a side or angle is congruent to itself, which is a direct application of the Reflexive Property.

Tags

CCSS.HSG.SRT.B.5