Unit 4 Review

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 SAS (Side-Angle-Side) 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 additional information is needed for triangles to be congruent by SAS?

Back

You need to know the lengths of two sides and the measure of the included angle.

Front

How do you identify corresponding angles in congruent triangles?

Back

Corresponding angles are the angles that are in the same relative position in each triangle.

Front

What is the significance of the congruence symbol (≅)?

Back

The congruence symbol (≅) indicates that two geometric figures are congruent.

Front

What is the difference between congruence and similarity?

Back

Congruent figures are identical in shape and size, while similar figures have the same shape but may differ in size.

Front

How can you prove that two triangles are congruent?

Back

You can prove triangle congruence using criteria such as SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles).

Front

What does the term 'corresponding sides' refer to?

Back

Corresponding sides are the sides of two triangles that are in the same relative position.

Front

In triangle congruence, what does the term 'included angle' mean?

Back

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