Geometry Chapter 4 Triangles Test

Front

Is Angle-Angle-Angle (AAA) a valid rule for proving triangles congruent?

Back

No, AAA is not a valid rule for proving triangles congruent.

Front

What postulate makes triangles congruent if two sides and the included angle are known?

Back

SAS (Side-Angle-Side) 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.

Front

What postulate makes triangles congruent if all three sides are known?

Back

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

Front

What postulate makes triangles congruent if two angles and the included side are known?

Back

ASA (Angle-Side-Angle) 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.

Front

What postulate makes triangles congruent if two angles and a non-included side are known?

Back

AAS (Angle-Angle-Side) postulate states that if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

Front

What postulate makes triangles congruent if the hypotenuse and one leg are known?

Back

HL (Hypotenuse-Leg) postulate states that 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.

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.

Front

What is the significance of the SSS postulate?

Back

The SSS postulate is significant because it provides a method to prove triangle congruence based solely on the lengths of their sides.

Front

What is the significance of the SAS postulate?

Back

The SAS postulate is significant because it allows for the proof of triangle congruence when two sides and the included angle are known.

Front

What is the significance of the ASA postulate?

Back

The ASA postulate is significant because it allows for the proof of triangle congruence when two angles and the included side are known.