Geometry Congruent Triangles Review

Front

What are congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their 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 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 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 triangles are congruent.

Front

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

Back

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

Front

How do 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 triangles are congruent.

Front

If two triangles have two pairs of equal angles, what can be concluded about the triangles?

Back

If two triangles have two pairs of equal angles, they are congruent by the Angle-Angle (AA) similarity postulate.

Front

What is the measure of the vertex angle in an isosceles triangle if the base angles are each 30 degrees?

Back

The measure of the vertex angle is 120 degrees.

Front

What is the relationship between the angles in a triangle?

Back

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

Front

What is the definition of an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.