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8th Grade Math (Math 8) · Chapter 11 · Lesson 11.3 · Printable PDF

Converse of the Pythagorean Theorem Worksheet with Answer Key

6 problems on the converse of the Pythagorean theorem: classifying triangles as right, acute or obtuse, finding which angle is right, an isosceles triangle, a quadrilateral with a diagonal, students' mistakes, and a rope loop. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Converse of the Pythagorean theorem worksheet with answer key - 8th Grade Math (Math 8) (Page 1 PDF preview)
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What's on the worksheet

  1. Decide if each triangle is right, acute or obtuse and show the comparison:
    21, 29, 206, 7, 910, 13, 181.5, 2.5, 2\sqrt{3}, \sqrt{8}, \sqrt{12}
  2. Decide if each triangle has a right angle and name it:
  3. Find the base of an isosceles triangle with two equal sides of 10 cm that makes it right, acute or obtuse.
  4. Word problem: show a quadrilateral has right angles using its diagonal.
  5. Find the mistake in each student's test and give the correct conclusion:
  6. Word problem: a 30-knot rope loop held at three knots to make a triangle.

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Converse of the Pythagorean theorem: the lesson ›

More Chapter 11 worksheets: The Pythagorean theorem and distance