Intro to Congruent Triangles

Front

What are congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the symbol for congruence?

Back

The symbol for congruence is '≅'.

Front

If two triangles are congruent, what can we say about their corresponding angles?

Back

The corresponding angles of congruent triangles are equal.

Front

If ΔABC ≅ ΔDEF, what can we conclude about the sides?

Back

The corresponding sides of ΔABC and ΔDEF are equal in length.

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 Angle-Side-Angle (ASA) criterion for triangle congruence?

Back

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

If ∠A = 48° in triangle ABC and triangle DEF is congruent to triangle ABC, what is the measure of ∠D?

Back

∠D = 48°.

Front

If ΔXYZ ≅ ΔPQR, what can we say about the angles?

Back

∠X ≅ ∠P, ∠Y ≅ ∠Q, ∠Z ≅ ∠R.