Chapter 3

Question 1

Skew Lines

Answer 1

do not intersect and are not coplanar

Question 2

Parallel Planes

Answer 2

Planes that don’t intersect

Question 3

A line that intersects two or more coplanar lines at 2 different points

Answer 3

Transversal

Question 4

Angles that lie between two transversals that intersect the same line

Answer 4

Interior Angles

Question 5

An angle that lies in the region that is not between two transversals that intersect the same line

Answer 5

Exterior Angle

Question 6

Interior Angles that lie on the same side of the transversal

Answer 6

Consecutive Interior Angles

Question 7

Nonadjacent interior angles that lie on opposite sides of the transversal

Answer 7

Alternate Interior Angles

Question 8

Nonadjacent exterior angles that lie on opposite sides of the transversal

Answer 8

Alternate Exterior Angles

Question 9

Angles on the same side of the transversal, in the same position to each line

Answer 9

Corresponding Angles

Question 10

Corresponding Angles Postulate

Answer 10

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

Question 11

Alt Int angles Postulate

Answer 11

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

Question 12

Consecutive Interior Angles Postulate

Answer 12

If two parallel lines are cit by a transversal, each pair of consec int.

Question 13

Alternate Exterior Angles Theorem

Answer 13

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

Question 14

Perpendicular Transversal Theorem

Answer 14

If a line is perpendicular to one of two parallel lines, it is perpendicular to the other

Question 15

The ratio of change along the y-axis to the change along the x-axis between any two points on the line

Answer 15

Slope

Question 16

Slope Formula

Answer 16

y2-y1/x2-x1

Question 17

(Parallel, perpendicular) Lines have the same slope

Answer 17

Parallel

Question 18

If two lines are perpendicular, their slopes are…

Answer 18

Opposite Reciprocals

Question 19

Slope intercept Form

Answer 19

y=mx+b

Question 20

Point-Slope Form

Answer 20

y-y1=m(x-x1)

Question 21

Equation of a Horizontal Line

Answer 21

y=b

Question 22

equation of a vertical line

Answer 22

x=a

Question 23

Converse

Answer 23

switches hypothesis and conclusion

Question 24

Parallel Lines

Answer 24

Coplanar lines that do not intersect

Question 25

Converse of Corresponding Angles Postulate

Answer 25

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

Question 26

Alternate Exterior Angles Converse

Answer 26

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

Question 27

Consecutive Interior Angles Converse

Answer 27

If two lines in a plane are cut by a transversal so that a pair of consecutive interior angles is supplementary, then the lines are parallel

Question 28

Alternate Interior Angles Converse

Answer 28

If two lines in a plane are cut by a transversal so that a pair of alternate interior angles is congruent, then the lines are parallel

Question 29

Perpendicular Transversal Converse

Answer 29

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

Question 30

Parallel Postulate

Answer 30

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

Question 31

Distance Between a Point and a Line

Answer 31

the distance between a line and a point not on the line is the segment perpendicular to the line from the point

Question 32

Perpendicular Postulate

Answer 32

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

Question 33

The distance between two lines measured along a perpendicular line to the lines is always the same

Answer 33

Equidistant

Question 34

Distance Between Parallel Lines

Answer 34

The distance between two parallel lines is the perpendicular distance from one of the lines and any point on the other line.

Question 35

Converse of Corresponding Angles Postulate

Answer 35

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

Question 36

Alternate Exterior Angles Converse

Answer 36

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

Question 37

Consecutive Interior Angles Converse

Answer 37

If two lines in a plane are cut by a transversal so that a pair of consecutive interior angles is supplementary, then the lines are parallel

Question 38

Alternate Interior Angles Converse

Answer 38

If two lines in a plane are cut by a transversal so that a pair of alternate interior angles is congruent, then the lines are parallel

Question 39

Perpendicular Transversal Converse

Answer 39

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

Question 40

Parallel Postulate

Answer 40

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

Question 41

Distance Between a Point and a Line

Answer 41

the distance between a line and a point not on the line is the segment perpendicular to the line from the point

Question 42

Perpendicular Postulate

Answer 42

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

Question 43

The distance between two lines measured along a perpendicular line to the lines is always the same

Answer 43

Equidistant

Question 44

Distance Between Parallel Lines

Answer 44

The distance between two parallel lines is the perpendicular distance from one of the lines and any point on the other line.