Cumulative #3: Parallel & Perp. Lines; Congruent Triangles

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They are always the same distance apart and have the same slope.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, which can be proven using criteria such as SSS, SAS, AAS, or HL.

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, the triangles are congruent.

Front

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

Back

The AAS criterion states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on two different parallel lines cut by a transversal.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie between two parallel lines on opposite sides of a transversal.

Front

What are vertical angles?

Back

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

Front

What is a transversal?

Back

A transversal is a line that crosses at least two other lines. It creates various angles, including corresponding, alternate interior, and same-side interior angles.

Front

What is the relationship between same-side interior angles when two lines are parallel?

Back

When two parallel lines are cut by a transversal, the same-side interior angles are supplementary, meaning they add up to 180 degrees.