Flashcard--Triangle Congruence

Front

What does congruence mean in geometry?

Back

Congruence in geometry means that two figures have the same shape and size, and can be superimposed on each other.

Front

What are the criteria for triangle congruence?

Back

The criteria for triangle congruence are SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which means if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which means 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

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which means 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 definition of a bisector?

Back

A bisector is a line or segment that divides another line segment or angle into two equal parts.

Front

What is the definition of a midpoint?

Back

A midpoint is the point that divides a line segment into two equal parts.

Front

What is the definition of equality in geometry?

Back

Equality in geometry refers to two figures having the same measure or value.

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures are identical in shape and size.

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 equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.