Parallel line proofs

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

Front

What does the Transitive Property state?

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 definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Front

What is the Substitution Property?

Back

If two quantities are equal, one can be substituted for the other in any expression.

Front

What is the Reflexive Property?

Back

Front

What is the 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 definition of congruence in geometry?

Back

Congruence means that two figures have the same shape and size.

Front

What is the definition of a bisector?

Back

A bisector is a line, ray, or segment that divides another segment into two equal parts.

Front

What is the relationship between parallel lines and corresponding angles?

Back

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

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect; they are always congruent.