Sec 3-6Sec 3-1 Sec 3-2 & 3- 5 Sec 3-3Sec

Sec points QUESTION: 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 points

QUESTION: Identify the angle pair as alternate interior, alternate exterior, consecutive interior, or corresponding angles. ANSWER: Consecutive Interior Angles Sec points

QUESTION: Name all segments parallel to segment BF ANSWER: Segment AE Segment DH Segment CG Sec points

QUESTION: Name all segments skew to segment AD ANSWER: Segment GH Segment EF Segment BF Segment CG Sec 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 & 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 b corresponding Sec 3-2 & 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 d Consecutive int. Sec 3-2 & points

QUESTION: Find x so that segment AB is parallel to segment CD. ANSWER: x = 9 Sec 3-2 & 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 = 25 r = 10 Sec 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 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 points

QUESTION: Find the slope of the line perpendicular to segment AB. ANSWER: m = -2/3 Sec 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) = 4/5 Slope UV = ( ) / (5 – 9) = -5/-4 = 5/4 NEITHER Sec 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/-2 Slope UV = (1 + 1) / (8 – 5) = 2/3 PERPENDICULAR Sec 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 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 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 = 4 y = mx + b 13 = 4(3) + b b = 1 y = 4x + 1 Sec 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 = -1/4 y = mx + b -8 = -(1/4)(5) + b b = -27/4 y = -(1/4)x – 27/4 Sec 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 = 4/7 y = mx + b -3 = (4/7) (-2) + b b = - (13/7) y = (4/7)x – (13/7) Sec points

QUESTION: Draw the segment that represents the distance indicated. D to segment BC ANSWER: Sec points

QUESTION: Draw the segment that represents the distance indicated. C to segment DE ANSWER: Sec points

QUESTION: Find the distance between each pair of parallel lines. y = -3 y = 1 ANSWER: d = 4 Sec points

QUESTION: Find the distance between each pair of parallel lines. y = 4x y = 4x – 17 ANSWER: y = -(1/4)x -(1/4)x = 4x – 17 -(17/4)x = -17 x = 4 y = -(1/4)(4) = -1 Distance between (0, 0) and (4, -1) is √17 Sec points

QUESTION: Find the distance between each pair of parallel lines. x + 3y = 6 x + 3y = -14 ANSWER: y = 3x + 2 3x + 2 = -(1/3)x – (14/3) (10/3)x = -(20/3) x = 2 y = 3(2) + 2 = 8 Distance between (0, 2) and (2, 8) is 2√10 y = -(1/3)x + 2 y = -(1/3)x – (14/3) Sec points