Proving Triangles Congruent Practice

Front

What is a median in a triangle?

Back

A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side, cutting that side into two congruent segments.

Front

Which triangle congruence theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent?

Back

SAS (Side-Angle-Side) theorem.

Front

What does the ASA theorem stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

In an isosceles triangle, what can be said about the angles and sides?

Back

In an isosceles triangle, two sides are congruent, and the angles opposite those sides are also congruent.

Front

What is the definition of an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side, creating two congruent right angles.

Front

What does the AAS theorem stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which 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, the triangles are congruent.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the definition of corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are the sides and angles that are equal in measure.

Front

What is the difference between SSS and SAS congruence theorems?

Back

SSS (Side-Side-Side) states that if all three sides of one triangle are equal to all three sides of another triangle, they are congruent. SAS requires two sides and the included angle to be equal.

Front

How can you prove that two triangles are congruent using the AAS theorem?

Back

To prove triangles are congruent using AAS, show that two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.