Postulates and Theorems; Transversals

Question 0

Corresponding angles converse (3.4)

Answer 0

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

Question 1

Alternate interior angles converse (3.7)

Answer 1

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

Question 2

Consecutive interior angles converse (3.6)

Answer 2

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

Question 3

Alternate exterior angles converse (3.5)

Answer 3

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

Question 4

Perpendicular transversal converse (3.8)

Answer 4

In a plane, if two lines are perpendicular to the same line, then they are parallel.

Question 5

Corollary 7.1 proportional parts of parallel lines

Answer 5

If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.

Question 6

Corollary 7.2 congruent parts of parallel lines

Answer 6

If three or more parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.