Tiangle Congrueence Review

Front

What is the definition of congruent triangles?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What is the ASA postulate?

Back

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

Front

What is the HL theorem?

Back

Hypotenuse-Leg; a theorem that states if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

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

Back

AB = DE, BC = EF, AC = DF.

Front

If two triangles have two pairs of equal angles, what can we conclude?

Back

The triangles are congruent by the AA (Angle-Angle) criterion.

Front

What is the definition of the term 'corresponding parts' in triangle congruence?

Back

The sides and angles of one triangle that match with the sides and angles of another triangle when the triangles are congruent.

Front

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

Back

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 relationship between the angles of congruent triangles?

Back

The corresponding angles of congruent triangles are equal.

Front

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

Back

The areas of congruent triangles are equal.