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Geometry · Chapter 9 · Lesson 9.3 · Printable PDF

Writing a Parallel or Perpendicular Line Through a Point Worksheet with Answer Key

5 problems on writing a parallel or perpendicular line through a point: slope-intercept equations, a student's slope mistake, standard form, reflecting a point across a line, and a city footpath. 2 pages, with a worked answer key.

5 problems2 pagesanswer key
Printable Writing a parallel or perpendicular line through a point worksheet with answer key - Geometry (Page 1 PDF preview)
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What's on the worksheet

  1. Write the equation of each parallel or perpendicular line through a point and check it:
    Through (3, −2), parallel to y = -2x + 7Through (−4, 6), perpendicular to y = 4x - 3Through (6, 1), perpendicular to y = -\dfrac{3}{2}x + 2Through (−2, −5), parallel to 2x - y = 9Through (5, 4), perpendicular to x + 5y = 10
  2. Find Mei's mistake in reading the slope and write the correct line.
  3. Decide which point is on the line and write a parallel line in standard form.
  4. Find the perpendicular through P, the foot on the line, and the reflection of P.
  5. Write the footpath equation from the school to Elm Avenue at a right angle.

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

Writing a parallel or perpendicular line through a point: the lesson ›

More Chapter 9 worksheets: Coordinate geometry and coordinate proof