5.1 Congruence Statements Assignment

Front

What is a congruence statement?

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 two triangles to be congruent?

Back

Two triangles are congruent if their corresponding sides and angles are equal.

Front

What is the included angle in a triangle?

Back

The included angle is the angle formed between two sides of a triangle.

Front

How do you denote the sides of a triangle?

Back

Sides of a triangle are denoted using the letters of the vertices, for example, side AB is denoted as \overline{AB}.

Front

What is the relationship between angles and sides in congruent triangles?

Back

In congruent triangles, corresponding angles are equal and corresponding sides are equal.

Front

What is the Side-Angle-Side (SAS) congruence criterion?

Back

The SAS criterion states 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 Angle-Side-Angle (ASA) congruence criterion?

Back

The ASA criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the Side-Side-Side (SSS) congruence criterion?

Back

The SSS criterion states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the Angle-Angle (AA) similarity criterion?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

How can you identify congruent triangles in a diagram?

Back

Congruent triangles can be identified by marking corresponding sides and angles with the same symbols or colors.