Congruent Triangle Proofs

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, segment AB is congruent to segment AB (AB ≅ AB).

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which is a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which is a criterion for triangle congruence stating 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 Midpoint Theorem?

Back

The Midpoint Theorem states that if a point is the midpoint of a segment, then it divides the segment into two equal parts.

Front

What is the definition of 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 purpose of a triangle proof?

Back

The purpose of a triangle proof is to demonstrate that two triangles are congruent using specific criteria such as SSS, SAS, or ASA.

Front

What is the Angle-Angle-Side (AAS) criterion?

Back

The AAS criterion 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 significance of the Reflexive Property in triangle proofs?

Back

The Reflexive Property is significant in triangle proofs as it allows the use of a side or angle that is common to both triangles, establishing congruence.

Front

What additional information is required for the 2 triangles to be congruent by SSS?

Back

To use the SSS criterion, the lengths of all three sides of both triangles must be known.

Front

What additional information is required for the 2 triangles to be congruent by SAS?

Back

To use the SAS criterion, the lengths of two sides and the measure of the included angle must be known.