Triangle Congruence Mixed Practice (No HL)

Front

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

Back

The SSS 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 additional information is required for two triangles to be congruent by SSS?

Back

No additional information is required; if all three sides are known, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

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 ASA (Angle-Side-Angle) Congruence Postulate?

Back

The ASA 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 (Angle-Angle-Side) Congruence Theorem?

Back

The AAS 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

How can you determine if two triangles are congruent using the SAS (Side-Angle-Side) 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 definition of an included angle?

Back

An included angle is the angle formed between two sides of a triangle.

Front

What is the definition of a corresponding angle?

Back

A corresponding angle is an angle that is in the same position in two different triangles.

Tags

CCSS.8.G.A.5

Front

What is the importance of triangle congruence in geometry?

Back

Triangle congruence is important because it allows us to prove that two triangles are identical in shape and size, which is fundamental in solving geometric problems.

Tags

CCSS.8.G.A.2