Unit 3 Proofs

Question 1

If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.

Answer 1

Parallel Postulate

Question 2

If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line.

Answer 2

Perpendicular Postulate

Question 3

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

Answer 3

Corresponding Angles Theorem

Question 4

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

Answer 4

Alternate Interior Angles Theorem

Question 5

If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.

Answer 5

Alternate Exterior Angles Theorem

Question 6

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.

Answer 6

Consecutive Interior Angles Theorem

Question 7

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

Answer 7

Corresponding Angles Theorem