Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does the ASA postulate state?

Back

The Angle-Side-Angle (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 SSS postulate?

Back

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

Front

What is the SAS postulate?

Back

The Side-Angle-Side (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 AAS postulate?

Back

The Angle-Angle-Side (AAS) postulate states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the definition of a vertex angle in a triangle?

Back

The vertex angle is the angle formed by the two sides of the triangle that meet at a vertex.

Front

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

Back

You can use the triangle sum theorem, which states that the sum of the interior angles of a triangle is always 180 degrees.

Front

What is the base of a triangle?

Back

The base of a triangle is typically one of its sides, often the side on which the triangle is considered to be standing.

Front

If angle A measures 36 degrees, what is the measure of angle B if angle C is 108 degrees?

Back

Using the triangle sum theorem: angle A + angle B + angle C = 180 degrees. Therefore, angle B = 180 - (36 + 108) = 36 degrees.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal.