Geometry Congruent Triangles Review

Front

What are congruent triangles?

Back

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

Front

If two triangles are congruent, what can be said about their corresponding angles?

Back

Their corresponding angles are equal.

Front

If triangle ABC is congruent to triangle XYZ (∆ABC≅∆XYZ), what can be concluded about side AB and side XY?

Back

AB≅XY.

Front

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

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are congruent.

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What is the Side-Angle-Side (SAS) criterion for triangle congruence?

Back

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 is the relationship between the angles in an equilateral triangle?

Back

All angles in an equilateral triangle are congruent and measure 60° each.

Front

If ∠E is 45° and ∠B is 55°, what is the measure of ∠C in a triangle where the sum of angles is 180°?

Back

∠C = 180° - (∠E + ∠B) = 80°.

Front

What does it mean if all sides of a triangle are congruent?

Back

It means that all angles of the triangle are also congruent.

Front

What is the definition of corresponding sides in congruent triangles?

Back

Corresponding sides are the sides that are in the same position in two different triangles.