Congruent Triangles Review

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

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 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 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 triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AAS Congruence Theorem?

Back

The AAS (Angle-Angle-Side) Congruence 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 triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of corresponding parts in congruent triangles?

Back

Corresponding parts are the sides and angles of two triangles that are in the same relative position.

Tags

CCSS.HSG.CO.B.7

Front

If ∆PRQ≅∆SRT is FALSE, what can we infer about the triangles?

Back

If the statement is FALSE, it means that the triangles PRQ and SRT do not have equal corresponding sides and angles.

Tags

CCSS.HSG.CO.B.7

Front

How can you determine if two triangles are congruent using the SSS postulate?

Back

Measure all three sides of both triangles. If all three sides of one triangle are equal to the corresponding sides of the other triangle, they are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are congruent using the SAS postulate?

Back

Measure two sides and the included angle of both triangles. If the two sides and the included angle of one triangle are equal to the corresponding parts of the other triangle, they are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of congruent angles in triangles?

Back

Congruent angles in triangles indicate that the triangles may be similar or congruent, depending on the equality of their corresponding sides.

Tags

CCSS.8.G.A.2