Intro to 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

If ΔDEF ≅ ΔRST, what can we conclude about the corresponding angles?

Back

The corresponding angles are equal: ∠D ≅ ∠R, ∠E ≅ ∠S, ∠F ≅ ∠T.

Front

What is the symbol for congruence?

Back

The symbol for congruence is '≅'.

Front

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

Back

Their corresponding sides 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 all three sides of one triangle are equal to the 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

What is the Hypotenuse-Leg (HL) theorem for right triangles?

Back

If the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Front

If ΔDEF ≅ ΔRST, what can we conclude about the lengths of segment DE and segment RS?

Back

DE = RS.