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Grade 10 Parallel & Perpendicular Lines Worksheet with Answers

Grade 10 (US) · Year 11 (UK) · Class 10 (India) · Math

Unit 1: Coordinate GeometryDistance, Midpoint & SlopeCCSS G-GPE.B.5

Using slopes to identify and write equations of parallel and perpendicular lines. This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Parallel & Perpendicular Lines

Grade 10 · Math

Score___ / 12

Name

Class

Date

Learning goal: Distance, Midpoint & Slope · CCSS G-GPE.B.5

Directions: Solve each problem. Show your work, then write your answer in the box.

Example

What is the slope of a line perpendicular to y = 2x + 4?

Answer: -1/2

RememberSlope and lines

runriseslope m = rise ÷ runm = (y₂ − y₁) ÷ (x₂ − x₁)y = mx + b (b = y-intercept)Parallel: same slopePerpendicular: slopes multiply to −1
  1. 1

    Are y = 3x - 3 and y = -(1/3)x parallel, perpendicular or neither?

    ParallelPerpendicularNeither
  2. 2

    What is the slope of a line perpendicular to y = 3x - 4?

    Answer
  3. 3

    What is the slope of a line parallel to y = -2x + 1?

    Answer
  4. 4

    What is the slope of a line perpendicular to y = -(5/3)x - 9?

    Answer
  5. 5

    What is the slope of a line perpendicular to y = (3/2)x - 4?

    Answer
  6. 6

    Are y = x - 9 and y = -x - 6 parallel, perpendicular or neither?

    ParallelPerpendicularNeither
  7. 7

    What is the slope of a line parallel to y = x - 5?

    Answer
  8. 8

    Are y = 2x + 2 and y = 2x + 5 parallel, perpendicular or neither?

    ParallelPerpendicularNeither
  9. 9

    What is the slope of a line parallel to y = (1/2)x + 4?

    Answer
  10. 10

    What is the slope of a line perpendicular to y = 5x + 4?

    Answer
  11. 11

    Are y = (5/2)x + 6 and y = (5/2)x + 9 parallel, perpendicular or neither?

    ParallelPerpendicularNeither
  12. 12

    Are y = 3x - 2 and y = 3x + 1 parallel, perpendicular or neither?

    ParallelPerpendicularNeither

★ Challenge corner for fast finishers

Each interior angle of a regular polygon is 140°. How many diagonals does it have?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/10/parallel_perpendicular

Answer key (click to show)
  1. 1.perpendicular
  2. 2.-1/3
  3. 3.-2
  4. 4.3/5
  5. 5.-2/3
  6. 6.perpendicular
  7. 7.1
  8. 8.parallel
  9. 9.1/2
  10. 10.-1/5
  11. 11.parallel
  12. 12.parallel
  13. ★27 (challenge corner)

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