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Geometry · Chapter 9 · Lesson 9.2 · Printable PDF

Slopes of Perpendicular Lines Worksheet with Answer Key

7 problems on slopes of perpendicular lines: perpendicular, parallel or neither, finding perpendicular slopes, a quarter turn, a claim about lines perpendicular to one line, points at a distance, and a sign post prop. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable Slopes of perpendicular lines worksheet with answer key - Geometry (Page 1 PDF preview)
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What's on the worksheet

  1. Decide whether lines with the given slopes are perpendicular, parallel or neither:
    -\dfrac{5}{3} and \dfrac{3}{5}\dfrac{4}{7} and \dfrac{8}{14}−6 and \dfrac{1}{6}\dfrac{2}{9} and -\dfrac{2}{9}1.25 and −0.8
  2. Find the slope of a line perpendicular to each given line:
    the line through (−3, 5) and (1, −7)y - 4 = \dfrac{5}{2}(x + 1)6x - 4y = 9x = 8y = -0.75x + 2
  3. Find the image under a quarter turn about V and use slopes to show a right angle.
  4. Check Owen's claim about two lines both perpendicular to a third line.
  5. Find the two points on a perpendicular through the origin that are 26 units away.
  6. Show every line perpendicular to a gentle line has a slope less than -1.
  7. Find where a prop meets a leaning pole at a right angle.

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The free lesson teaches it with worked examples and practice problems.

Slopes of perpendicular lines: the lesson ›

More Chapter 9 worksheets: Coordinate geometry and coordinate proof