Proofs of Congruent Triangles

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side are known.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side are known.

Front

What is the Vertical Angles Theorem?

Back

The Vertical Angles Theorem states that vertical angles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle are known.

Front

How can you prove two triangles are congruent using AAS?

Back

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

Front

What is the significance of the Definition of Midpoint in triangle proofs?

Back

The Definition of Midpoint states that a midpoint divides a segment into two equal parts, which can be used to establish congruence.

Front

What is the purpose of using congruence criteria in proofs?

Back

Congruence criteria help to establish that two triangles are congruent based on specific known measurements.

Front

What is the relationship between Alternate Interior Angles and parallel lines?

Back

Alternate Interior Angles are congruent when formed by a transversal intersecting two parallel lines.