Chapter 3.5: Properties of Parallel Lines

Question 1

Transversal

Answer 1

a line that intersects two or more co planar lines at different points.

Question 2

Corresponding Angles

Answer 2

two angles are corresponding angles if they occupy corresponding positions, such as angle 1 and angle 2.

Question 3

Alternate Interior Angles

Answer 3

two angles are alternate interior angles if they lie between l and m on opposite sides of T, such as angle 2 and angle 8.

Question 4

Alternate Exterior Angles

Answer 4

two angles are alternate exterior angles if they lie outside l and m on opposite sides of T, such as angle 1 and angle 7.

Question 5

Consecutive Interior Angles

Answer 5

two angles are consecutive interior angles if they lie between l and m on the same side of T, such as angle 1 and angle 5.

Question 6

Postulate 15 - Corresponding Angles Postulate

Answer 6

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

Question 7

Thm. 3.6 - Alternate Interior Angles Thm.

Answer 7

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

Question 8

Thm. 3.7 - Consecutive Interior Angles Thm.

Answer 8

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

Question 9

Thm. 3.8 - Alternate Exterior Angles Thm.

Answer 9

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

Question 10

Thm. 3.9 - Perpendicular Transversal Thm.

Answer 10

if a transversal is perpendicular to one of the two parallel lines, then it is perpendicular to the second.