Triangle Congruence Statements Flashcard

Front

What is a congruence statement in geometry?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, meaning they have the same shape and size.

Front

What does it mean for segments to be congruent?

Back

Two segments are congruent if they have the same length.

Front

What is the symbol used to denote congruence?

Back

The symbol for congruence is '≅'.

Front

What are the three main triangle congruence postulates?

Back

1. Side-Side-Side (SSS) Postulate 2. Side-Angle-Side (SAS) Postulate 3. Angle-Side-Angle (ASA) Postulate.

Front

What is the Side-Side-Side (SSS) Congruence Postulate?

Back

If three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is the Side-Angle-Side (SAS) Congruence Postulate?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) Congruence Postulate?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What is the Angle-Angle-Side (AAS) Congruence Theorem?

Back

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 two triangles are congruent.

Front

What is the Hypotenuse-Leg (HL) Congruence Theorem?

Back

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

Front

How do you denote the congruence of triangles?

Back