Math With Mr DJ

Grade 7 · Geometry · 7.G.A.2

Drawing Shapes with Given Conditions Worksheets

Free, printable, and ready to teach: a practice worksheet, homework, an exit ticket, and an answer key with step-by-step solutions — plus lesson slides you can edit. No sign-up needed.

First page of the drawing shapes with given conditions practice worksheet Open the practice worksheet

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Key idea

Three sides: a triangle exists only when the two shorter sides add to more than the longest. Equal is not enough — that gives a flat line. Three angles: must sum to 180°, and then give infinitely many triangles of different sizes.

Sample problems

  1. Can a triangle have sides 6, 8 and 10?
  2. Can a triangle have sides 2, 3 and 6?
  3. Can a triangle have sides 7, 7 and 7?
  4. Can a triangle have sides 1, 1 and 2?

Common mistakes to watch for

  • Said no because the numbers must be equal. Sides of different lengths are perfectly normal.
  • Said yes because three lengths were given. Being given three numbers does not make them a triangle.
  • Said yes because the sides reach exactly. Reaching exactly gives a flat line, which is not a triangle.

The answer key explains each one, so you can tell what a wrong answer means.

How to use this set

  1. Teach with the slides (about 15 minutes), or watch the video together.
  2. Practice with the worksheet. Questions climb from fluency to application to reasoning.
  3. Check understanding with the exit ticket, and send the homework home.
  4. Mark with the answer key — each answer shows the steps and the most likely mistake.

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