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 their corresponding sides and angles are equal.

Front

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

Back

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

Front

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

Back

The corresponding sides of congruent triangles 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-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 Side-Side-Side (SSS) criterion for triangle congruence?

Back

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

Front

How do you find the measure of an unknown angle in a triangle?

Back

To find an unknown angle in a triangle, subtract the sum of the known angles from 180°.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal.

Front

If ∆ ABC ≅ ∆ DEF, what can we say about angle A and angle D?

Back

Angle A is equal to angle D.

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 congruent triangles.