Triangle Congruency

Front

What is the definition of congruent segments?

Back

Congruent segments are segments that have the same length.

Front

What does the Side-Side-Side (SSS) postulate state?

Back

The SSS postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two 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 congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

What information is needed to prove triangles are congruent using the Angle-Side-Angle (ASA) postulate?

Back

To prove triangles are congruent using ASA, you need two angles and the included side of one triangle to be congruent to two angles and the included side of another triangle.

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

The AA criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.

Front

What are the types of triangles based on side lengths?

Back

The types of triangles based on side lengths are equilateral (all sides congruent), isosceles (two sides congruent), and scalene (no sides 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

What is the definition of the Angle-Side-Angle (ASA) postulate?

Back

The ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the definition of the Side-Angle-Side (SAS) postulate?

Back

The SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.