Geometry · Chapter 1 · Lesson 1.7 · Printable PDF · Free

Inductive Reasoning Worksheet with Answer Key

7 problems on inductive reasoning: counting regions, rectangles and areas to spot patterns, then testing claims and finding counterexamples to geometry conjectures. 3 pages, with a worked answer key and a one-page lesson handout. Free to download, no sign-in.

7 problems3 pagesanswer keylesson handout
Printable Inductive reasoning worksheet with answer key - Geometry (Page 1 PDF preview)
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What's on the worksheet

  1. Count regions made by lines through one point and test Maya's conjecture.
  2. Count rectangles in strips of squares and use differences to find the pattern.
  3. Decide whether quadrilaterals are counterexamples to a claim about a parallelogram.
  4. Give a counterexample to a claim about quadrilaterals with two right angles, then check Owen's repair.
  5. Name what Maya's three figures share, then test the claim on other quadrilaterals.
  6. Compare the area of a triangle with the area of its midpoint triangle and find the pattern.
  7. Test a claim about whole-number triangle sides and area with Mateo's triangles.

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Inductive reasoning: the lesson ›