Proving Lines Parallel

Front

What is the Converse of Vertical Angles?

Back

If two angles are vertical angles, then they are congruent.

Front

What is the Converse of Alternate Interior Angles Theorem?

Back

If two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.

Front

What is the Converse of Corresponding Angles Postulate?

Back

If two lines are cut by a transversal and the corresponding angles are congruent, then the lines are parallel.

Front

What is the definition of parallel lines?

Back

Two lines that never intersect and are equidistant from each other.

Front

What is the Transitive Property of Congruence?

Back

If angle A is congruent to angle B, and angle B is congruent to angle C, then angle A is congruent to angle C.

Front

What is the Reflexive Property of Congruence?

Back

Any geometric figure is congruent to itself.

Front

What is the Transitive Property of Equality?

Back

If a = b and b = c, then a = c.

Front

What is the definition of alternate interior angles?

Back

Angles that are on opposite sides of the transversal and inside the two lines.

Front

What is the definition of corresponding angles?

Back

Angles that are in the same position on two parallel lines in relation to a transversal.

Front

What is the definition of linear pair?

Back

A pair of adjacent angles that are formed when two lines intersect.