Unit 2 - Benchmark Congruent Triangles Review

Front

What is a congruent triangle?

Back

A congruent triangle is a triangle that is identical in shape and size to another triangle. This means that all corresponding sides and angles are equal.

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' represents that two figures are congruent, meaning they have the same shape and size.

Front

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

Back

If two triangles are congruent, their corresponding sides are equal in length.

Front

What is the Angle-Side-Angle (ASA) congruence postulate?

Back

The ASA postulate 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 two triangles are congruent.

Front

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

Back

The SAS postulate 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 two triangles are congruent.

Front

What is the Side-Side-Side (SSS) congruence postulate?

Back

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

Front

How can you determine if two triangles are congruent using 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 two triangles are congruent.

Front

What is the relationship between the angles in congruent triangles?

Back

In congruent triangles, all corresponding angles are equal.

Front

If ∆ABC≅∆XYZ, what can we conclude about the sides AB and XY?

Back

If ∆ABC≅∆XYZ, then AB≅XY, meaning the lengths of sides AB and XY are equal.

Front

What is the definition of corresponding angles in congruent triangles?

Back

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