Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a postulate stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a postulate stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a postulate stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a postulate stating 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, the triangles are congruent.

Front

What is the SSA condition in triangle congruence?

Back

Side-Side-Angle; this condition does not guarantee triangle congruence and is not a valid test.

Front

What is a congruence statement?

Back

A statement that shows two geometric figures are congruent, typically written in the form of triangle names, such as △ABC ≅ △DEF.

Front

If ∠BAC ≅ ∠DAC, what can be concluded about triangles ABC and ADC?

Back

Triangles ABC and ADC are congruent by the Angle-Angle (AA) criterion.

Front

What is the significance of corresponding parts in congruent triangles?

Back

In congruent triangles, corresponding parts (sides and angles) are equal, which can be used to prove further properties.

Front

How can you prove that two triangles are congruent using the SSS postulate?

Back

Measure all three sides of both triangles; if all three pairs of sides are equal, the triangles are congruent.