Unit 3 Test Review: Congruence

Front

What is congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size. This can be shown through transformations such as translations, rotations, and reflections.

Front

What is the symbol for congruence?

Back

The symbol for congruence is '≅'.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent. For example, ΔABC ≅ ΔDEF means triangle ABC is congruent to triangle DEF.

Front

What are the criteria for triangle congruence?

Back

The criteria for triangle congruence include: 1) Side-Side-Side (SSS), 2) Side-Angle-Side (SAS), 3) Angle-Side-Angle (ASA), 4) Angle-Angle-Side (AAS), and 5) Hypotenuse-Leg (HL) for right triangles.

Front

How do you determine if two angles are congruent?

Back

Two angles are congruent if they have the same measure. This can be determined using a protractor or by comparing their measures in a congruence statement.

Front

What is the transformation that preserves congruence?

Back

Transformations that preserve congruence include translations, rotations, and reflections.

Front

What is the difference between congruence and similarity?

Back

Congruence means that two figures are the same shape and size, while similarity means that two figures have the same shape but may differ in size.

Front

If ΔABC ≅ ΔDEF, what can be inferred about their corresponding sides and angles?

Back

If ΔABC ≅ ΔDEF, then the corresponding sides are equal in length (AB = DE, BC = EF, AC = DF) and the corresponding angles are equal in measure (∠A = ∠D, ∠B = ∠E, ∠C = ∠F).

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.