Chapter 3

Question 1

What are skew lines?

Answer 1

Two lines that never intersect and are not in the same plane. Also, they do not run in the same direction.

Question 2

What are parallel planes?

Answer 2

Two planes that do not intersect.

Question 3

What is a transversal?

Answer 3

A line that intersects two or more coplanar lines at different points.

Question 4

What is theorem 3.1?

Answer 4

corresponding angles theorem

Question 5

What does the corresponding angles theorem say?

Answer 5

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

Question 6

what is theorem 3.2?

Answer 6

alternate interior angles theorem

Question 7

What does the alternate interior angles theorem say?

Answer 7

If two parallel lines are cut by a transversal, alternate interior angles are congruent.

Question 8

What is theorem 3.3?

Answer 8

alternate exterior angles theorem

Question 9

What does the alternate exterior angles theorem say?

Answer 9

if two parallel lines are cut by a transversal, alternate exterior angles are congruent.

Question 10

What is theorem 3.4?

Answer 10

consecutive interior angles theorem

Question 11

what does the consecutive interior angles theorem say?

Answer 11

if two parallel lines are cut by a transversal, consecutive interior angles are supplementary.

Question 12

What is theorem 3.5?

Answer 12

corresponding angles converse theorem

Question 13

What does the corresponding angles converse theorem say?

Answer 13

if two lines are cut by a traversal so the corresponding angles are congruent, then the lines are parallel.

Question 14

What is theorem 3.6?

Answer 14

alternate interior angles converse

Question 15

What does the alternate interior angles converse theorem say?

Answer 15

if two lines are cut by a traversal so the alternate interior angles are congruent, then the lines are parallel.

Question 16

What is theorem 3.7?

Answer 16

alternate exterior angles converse

Question 17

What does the alternate exterior angles converse theorem say?

Answer 17

if two lines are cut by a traversal so the alternate exterior angles are congruent, then the lines are parallel.

Question 18

What is theorem 3.8?

Answer 18

consecutive interior angles converse

Question 19

What does the consecutive interior angles converse theorem say?

Answer 19

if two lines are cut by a traversal so the consecutive interior angles are supplementary, then the lines are parallel.

Question 20

what is the slope formula?

Answer 20

y2-y1/x2-x1

Question 21

what is theorem 3.13?

Answer 21

slope of parallel lines

Question 22

What does the slope of parallel lines theorem say?

Answer 22

two nonvertical lines are parallel if and if only they have the same slope.

Question 23

what is theorem 3.14?

Answer 23

slope of perpendicular lines

Question 24

What does the slope of perpendicular lines theorem say?

Answer 24

two nonvertical lines are perpendicular if and if only their slope are opposite reciprocals.

Question 25

what is the point-slope formula?

Answer 25

y-y1 = m(x-x1)

Question 26

what does an equation for a horizontal line look like?

Answer 26

y=-1

Question 27

what does an equation for a vertical line look like?

Answer 27

x=-4