Solving Congruent Triangles

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the symbol used to denote congruence in triangles?

Back

The symbol for congruence is '≅'.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is 180°.

Front

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

Back

The corresponding sides of congruent triangles are equal in length.

Front

If ∆ ABC ≅ ∆ DEF, what can be inferred about angle A and angle D?

Back

Angle A is equal to angle D.

Front

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

Back

The SAS criterion states that 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 Angle-Side-Angle (ASA) congruence criterion?

Back

The ASA criterion states that 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 Hypotenuse-Leg (HL) theorem?

Back

The HL theorem states that 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

What is the Angle-Angle (AA) similarity criterion?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar, but not necessarily congruent.

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

The SSS criterion states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.