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Geometry · Chapter 2 · Lesson 2.7 · Printable PDF

Proving Alternate Interior Angles Congruent Worksheet with Answer Key

6 problems on proving alternate interior angles congruent: finding angles in real objects, two-column proofs, and comparing the order of theorems. 3 pages, with a worked answer key.

6 problems3 pagesanswer key
Printable Proving alternate interior angles congruent worksheet with answer key - Geometry (Page 1 PDF preview)
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Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

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What's on the worksheet

  1. Find x in the Z-shaped sign from its parallel bars.
  2. Find angles in the ironing board figure, which has parallel edges.
  3. Check a proof about the numbered angles and fix it.
  4. Write a two-column proof that angles 4 and 5 are congruent without vertical angles.
  5. Prove two angles in a quadrilateral with a bisecting diagonal are congruent.
  6. Compare proofs when alternate interior angles are taken as the starting fact.

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

Proving alternate interior angles congruent: the lesson ›

More Chapter 2 worksheets: Angle pairs, parallel lines and first proofs