Triangle Congruency

Front

What is Triangle Congruency?

Back

Triangle congruency refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What does the acronym ASA stand for in triangle congruency?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruency where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does the acronym SAS stand for in triangle congruency?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruency where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does the acronym AAS stand for in triangle congruency?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruency where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What is the significance of the congruence statement ∆ABC ≅ ∆DEF?

Back

This statement indicates that triangle ABC is congruent to triangle DEF, meaning all corresponding sides and angles are equal.

Front

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

Back

The SSS criterion 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 is the difference between congruent triangles and similar triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size (corresponding angles are equal, and corresponding sides are proportional).

Front

What is the purpose of using congruence statements in geometry?

Back

Congruence statements are used to express the equality of two geometric figures, allowing for the application of various geometric theorems and properties.

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the importance of the included angle in the SAS criterion?

Back

The included angle is crucial in the SAS criterion because it must be between the two sides being compared to establish congruency.