Chapter 3Parallel and Perpendicular Lines

Jeopardy

Sec 3-6Sec 3-1Sec 3-2 &

3-5Sec 3-3 Sec 3-4

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Sec 3-1 10 pointsQUESTION:

Identify the angle pair as alternate interior, alternate exterior, consecutive interior, or corresponding angles.

ANSWER:Corresponding Angles

QUESTION:

Identify the angle pair as alternate interior, alternate exterior, consecutive interior, or corresponding angles.

ANSWER:Alternate Interior Angles

Sec 3-1 20 points

QUESTION:

Identify the angle pair as alternate interior, alternate exterior, consecutive interior, or corresponding angles.

ANSWER:Consecutive Interior Angles

Sec 3-1 30 points

QUESTION:

Name all segments parallel to segment BF

ANSWER:

Segment AESegment DHSegment CG

Sec 3-1 40 points

QUESTION:

Name all segments skew to segment AD

ANSWER:

Segment GHSegment EFSegment BFSegment CG

Sec 3-1 50 points

QUESTION:

In the figure, a is parallel to b, the measure of angle 1 is 45, and the measure of angle 10 is 130. Find the measure of the given angles.

ANSWER:

135, 45, 130

Sec 3-2 & 3-5 10 points

QUESTION:

Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer.

ANSWER:

a is parallel to bcorresponding

Sec 3-2 & 3-5 20 points

QUESTION:

Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer.

ANSWER:

c is parallel to dConsecutive int.

Sec 3-2 & 3-5 30 points

QUESTION:

Find x so that segment AB is parallel to segment CD.

ANSWER:

x = 9

Sec 3-2 & 3-5 40 points

QUESTION:

In the figure, the measure of angle 1 is 4p + 15, the measure of angle 3 is 3p – 10, and the measure of angle 4 is 6r + 5. Find the values of p and r.

ANSWER:

p = 25r = 10

Sec 3-2 50 points

QUESTION:

Determine the slope of the line that contains the given points.

(0, 2) and (7, 3)

ANSWER:

m = (3 – 2) / (7 – 0)m = 1/7

Sec 3-3 10 points

QUESTION:

Determine the slope of the line that contains the given points.

(-2, -3) and (-6, -5)

ANSWER:

m = (-5 – (-3)) / (-6 – (-2))m = (-5 + 3) / (-6 + 2)m = -2/-4 = 1/2

Sec 3-3 20 points

QUESTION:

Find the slope of the line perpendicular to segment AB.

ANSWER:

m = -2/3

Sec 3-3 30 points

QUESTION:

Determine whether line PQ and line UV are parallel, perpendicular, or neither.

P(5, -4), Q(10, 0), U(9, -8), V(5, -13)

ANSWER:

Slope PQ = (0 + 4) / (10 – 5) = 4/5Slope UV = (-13 + 8) / (5 – 9) = -5/-4 = 5/4NEITHER

Sec 3-3 40 points

QUESTION:

Determine whether line PQ and line UV are parallel, perpendicular, or neither.

P(-1, 4), Q(-3, 7), U(5, -1), V(8, 1)

ANSWER:

Slope PQ = (7 – 4) / (-3 + 1) = 3/-2Slope UV = (1 + 1) / (8 – 5) = 2/3 PERPENDICULAR

Sec 3-3 50 points

QUESTION:

Write an equation in slope-intercept form of the line having the given slope and y-intercept.

m = 3, b = -1/4

ANSWER:

y = 3x – 1/4

Sec 3-4 10 points

QUESTION:

Write an equation in point-slope form of the line having the given slope that contains the given point.

m = 3, (-2, 4)

ANSWER:

y – 4 = 3(x +2)

Sec 3-4 20 points

QUESTION:

Write an equation in slope-intercept form for the line that satisfies the given conditions.

contains (-3, -11) and (3, 13)ANSWER:

m = (13 +11) / (3 + 3) = 24/6 = 4y = mx + b 13 = 4(3) + b b = 1y = 4x + 1

Sec 3-4 30 points

QUESTION:

Write an equation in slope-intercept form for the line that satisfies the given condition.

Parallel to y = -(1/4)x + 2, contains (5, -8)

ANSWER:

m = -1/4y = mx + b -8 = -(1/4)(5) + b b = -27/4y = -(1/4)x – 27/4

Sec 3-4 40 points

QUESTION:

Write an equation in slope-intercept form for the line that is perpendicular to 2y + 2 = - (7/4) (x – 7) and contains (-2, -3).

ANSWER:

m = 4/7y = mx + b -3 = (4/7) (-2) + b b = - (13/7)y = (4/7)x – (13/7)

Sec 3-4 50 points

QUESTION:

Draw the segment that represents the distance indicated.

D to segment BC

ANSWER:

Sec 3-6 10 points

QUESTION:

Draw the segment that represents the distance indicated.

C to segment DE

ANSWER:

Sec 3-6 20 points

QUESTION:

Find the distance between each pair of parallel lines.

y = -3y = 1

ANSWER:

d = 4

Sec 3-6 30 points

QUESTION:

Find the distance between each pair of parallel lines.

y = 4xy = 4x – 17

ANSWER:

y = -(1/4)x-(1/4)x = 4x – 17 -(17/4)x = -17 x = 4y = -(1/4)(4) = -1Distance between (0, 0) and (4, -1) is √17

Sec 3-6 40 points

QUESTION:

Find the distance between each pair of parallel lines.

x + 3y = 6 x + 3y = -14

ANSWER:

y = 3x + 23x + 2 = -(1/3)x – (14/3) (10/3)x = -(20/3) x = 2y = 3(2) + 2 = 8Distance between (0, 2) and (2, 8) is 2√10

y = -(1/3)x + 2y = -(1/3)x – (14/3)

Sec 3-6 10 points