Properties of 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 are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same relative position at each intersection where a straight line crosses two others.

Front

What is the SSS Congruence Theorem?

Back

The SSS (Side-Side-Side) Congruence Theorem states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the SAS Congruence Theorem?

Back

The SAS (Side-Angle-Side) Congruence Theorem 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 ASA Congruence Theorem?

Back

The ASA (Angle-Side-Angle) Congruence Theorem 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 HL Congruence Theorem?

Back

The HL (Hypotenuse-Leg) Congruence Theorem applies to right triangles and states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means that their corresponding sides and angles are not equal, indicating they have different sizes or shapes.

Front

What is a corresponding side?

Back

A corresponding side is a side of one triangle that is equal in length to a side of another triangle in a pair of congruent triangles.

Front

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

Back

To determine if two triangles are congruent using the SSS theorem, measure the lengths of all three sides of each triangle and compare them. If all three pairs of sides are equal, the triangles are congruent.

Front

What is the relationship between congruent triangles and their angles?

Back

If two triangles are congruent, then their corresponding angles are also equal.