Geometry Congruent Triangles Review

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length. The angles opposite these sides are also 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 degrees.

Front

If the base angles of an isosceles triangle are both 30 degrees, what is the measure of the vertex angle?

Back

The vertex angle is 120 degrees.

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 Side-Angle-Side (SAS) congruence criterion?

Back

The SAS criterion states that if two sides of one triangle are equal to two sides of another triangle, and the included angle is equal, 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 definition of corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are the sides and angles that are in the same relative position in each triangle.

Front

How can you identify congruent triangles in a figure?

Back

Congruent triangles can be identified by comparing their corresponding sides and angles, often using congruence markings in the figure.

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.