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 side in a triangle?

Back

The included side is the side that lies between two specified angles in a triangle.

Front

What is the included angle in a triangle?

Back

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

Front

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

Back

The SAS postulate 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 two triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) congruence postulate?

Back

The ASA postulate 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 two triangles are congruent.

Front

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

Back

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

Front

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

Back

The AA postulate states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar, but not necessarily congruent.

Front

How do you denote a congruence statement for triangles?

Back

A congruence statement for triangles is denoted by the symbol '≅'. For example, if triangle ABC is congruent to triangle DEF, it is written as triangle ABC ≅ triangle DEF.

Front

What is the purpose of using congruence statements in geometry?

Back

Congruence statements are used to prove that two geometric figures are identical in shape and size, which is essential for solving problems involving geometric figures.