Parallel Line Proofs Review 24-25

Front

What is the Transitive Property in geometry?

Back

If angle A = angle B and angle B = angle C, then angle A = angle C.

Front

What does the Vertical Angles Theorem state?

Back

Vertical angles are congruent; if two angles are opposite each other when two lines intersect, they are equal.

Front

What is the Corresponding Angles Postulate?

Back

If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.

Front

Define Alternate Interior Angles Theorem.

Back

If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Front

What is the Linear Pair Postulate?

Back

If two angles form a linear pair, they are supplementary (their measures add up to 180 degrees).

Front

What are congruent angles?

Back

Angles that have the same measure.

Front

What is the definition of supplementary angles?

Back

Two angles whose measures add up to 180 degrees.

Front

What is the definition of complementary angles?

Back

Two angles whose measures add up to 90 degrees.

Front

What is the relationship between parallel lines and transversals?

Back

A transversal intersects parallel lines, creating angles that have specific relationships (corresponding, alternate interior, etc.).

Front

What is the significance of the Alternate Interior Angles Theorem in proofs?

Back

It helps establish the congruence of angles when proving lines are parallel.