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. If two figures are congruent, they can be made to coincide by rotation, translation, or reflection.

Front

What is the Reflexive Property of Congruence?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, if triangle ABC is considered, then triangle ABC ≅ triangle ABC.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side. It is a criterion for triangle congruence that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the definition of corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on different parallel lines cut by a transversal. If the lines are parallel, corresponding angles are equal.

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Front

What is the definition of alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie between two parallel lines and on opposite sides of a transversal. If the lines are parallel, these angles are equal.

Front

How do you prove triangles are congruent using the SAS criterion?

Back

The SAS criterion (Side-Angle-Side) 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 definition of congruence statement?

Back

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

Front

What is the significance of the order of letters in a congruence statement?

Back

The order of letters in a congruence statement indicates which vertices correspond to each other. For example, in ΔABC ≅ ΔDEF, vertex A corresponds to vertex D, B to E, and C to F.

Front

What is the Isosceles Triangle Theorem?

Back

The Isosceles Triangle Theorem states that if two sides of a triangle are equal, then the angles opposite those sides are also equal.