Geometry · Chapter 1 · Lesson 1.3 · Printable PDF · Free

Lines and Planes in Space Worksheet with Answer Key

7 problems on lines and planes in space: where lines meet, counting intersections, skew lines, edges of boxes and prisms, and always-sometimes-never statements. 2 pages, with a worked answer key and a one-page lesson handout. Free to download, no sign-in.

7 problems2 pagesanswer keylesson handout
Printable Lines and planes in space worksheet with answer key - Geometry (Page 1 PDF preview)
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What's on the worksheet

  1. Find every point two lines share, or say there is none or they are the same line.
    y = 3x + 2 and y = -x - 6x + y = 10 and y = x - 4y = -3x + 4 and 6x + 2y = 82x - y = 5 and y = 2x + 1y = \dfrac{1}{2}x + 3 and y = -2x - 2
  2. Find the strip length and other measures for a fish tank.
  3. Count how many places city streets cross on a map.
  4. Use an escalator through a floor to find lengths and where it crosses the plane.
  5. Decide if each statement about lines and planes is always, sometimes or never true.
  6. Sort the edges of a hexagonal prism by how their lines meet a given line.
  7. Explain why a line through points in two planes is skew to their shared line.

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

Lines and planes in space: the lesson ›