CK-12 Geometry - Second Edition

http://www.ck12.org Chapter 3. Parallel and Perpendicular Lines

20.y=−^13 x+ 2 ,y=−^13 x− 8

21.y= 4 x+ 9 ,y= 4 x− 8

22.y=^12 x,y=^12 x− 5

Find the equation of the perpendicular bisector for pair of points.

23. (1, 5) and (7, -7)


24. (1, -8) and (7, -6)


25. (9, 2) and (-9, -10)


26. (-7, 11) and (-3, 1)


27. The perpendicular bisector ofCDhas the equationy= 3 x−11. IfDis (-3, 0) what are the coordinates ofC?


28. The perpendicular bisector ofLMhas the equationy=−x+5. IfLis (6, -3) what are the coordinates ofM?
    29.ConstructionPlot the points (5, -3) and (-5, -9). Draw the line segment between the points. Construct the
    perpendicular bisector for these two points. (Construction was in Chapter 1). Determine the equation of the
    perpendicular bisector and the midpoint.
    30.ConstructionGraph the liney=−^12 x−5 and the point (2, 5). Construct the perpendicular line, through (2, 5)
    and determine the equation of this line.
    31.ChallengeThe distance between two points is 25 units. One point is (-2, 9). What is the second point? You
    may assume that the second point is made up of integers.
    32.WritingList the steps you would take to find the distance between two parallel lines, like the two in #24.

Review Queue Answers

1.y=− 4 x− 1

2.y=^12 x− 3

3.y=^23 x+ 6