3: Parallel and Perpendicular Lines

Question 1

coplanar lines that do not intersect

Answer 1

parallel lines

Question 2

noncoplanar; they are not parallel and do not intersect

Answer 2

skew lines

Question 3

planes that do not intersect

Answer 3

parallel planes

Question 4

a line that intersects two or more coplanar lines at a distinct point.

Answer 4

transversal

Question 5

nonadjacent interior angles that lie on opposite sides of the transversal

Answer 5

alternate interior angles

Question 6

interior angles that lie on the same side of the transversal

Answer 6

same-side interior angles

Question 7

angles that lie on the same side of the transversal (t) and in corresponding poisitions

Answer 7

corresponding angles

Question 8

nonadjacent exterior angles that lie on opposite sides of the transversal

Answer 8

alternate exterior angles

Question 9

a form of proof where arrows show the logical connections between the statements.

Answer 9

flow proof

Question 10

a line that you add to a diagram to help explain relationships in proofs

Answer 10

auxiliary line

Question 11

an angle formed by a side and an extension of an adjacent side

Answer 11

exterior angle of a polygon

Question 12

For each exterior angle of a triangle, the two nonadjacent interior angles are its ____________________

Answer 12

remote interior angles

Question 13

the ratio of the vertical change to the horizontal change between and two points of a line

Answer 13

slope

Question 14

an equation of a nonvertical line is y = mx + b, where m is the slope and b is the y-intercept

Answer 14

slope-intercept form

Question 15

an equation of a nonvertical line is y - y_1 = m(x - x_1), where m is the slope and (x_1,y_1) is a point on the line

Answer 15

point-slope form