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Patty Paper Investigations

Patty Paper Investigations. Friday, 8/23 Monday 8/26 Write this in your Table of Contents. Warm-up. Agenda. Warm-up Textbook Check Supplementary Practice Patty Paper Investigations Video Break More Patty Paper! Video Break. Supplementary Angles Practice.

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Patty Paper Investigations

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  1. Patty Paper Investigations Friday, 8/23 Monday 8/26 Write this in your Table of Contents

  2. Warm-up

  3. Agenda • Warm-up • Textbook Check • Supplementary Practice • Patty Paper Investigations • Video Break • More Patty Paper! • Video Break

  4. Supplementary Angles Practice • Draw/label a picture of the supplementary angles and solve • (5x+70 )+(30-x)=180 • (2x+45)+(3x-20)=180 • (3x+50)+(70-5x)=180 • (x)+(x)=180

  5. Vertical Angles Conjecture • Conjecture: An educated guess • Step 1: Using a straightedge, draw intersecting lines on your paper. • Step 2: Fold your patty paper to compare vertical angles. • Step 3: Based on your observations, complete the following conjecture. • Vertical Angles Conjecture: If two angles are vertical, then…

  6. Video Break

  7. Grade yourself • Give yourself a 1 or 0 on last lesson’s assignment. • Don’t forget to write one sentence (what you understand or what you are still confused about)

  8. Parallel Lines Investigation Using a straightedge, copy the image to the right in your notebook and write all pairs of… Corresponding angles: Alternate Interior Angles: Alternate Exterior Angles: Same-Side Interior Angles: HINT: Check last lesson’s assignment

  9. Patty Paper • Step 1: Trace angles 1-4 on your patty paper • Step 2: Using your patty paper, compare the corresponding angles. Write down what you notice. • Step 3: Using your patty paper, compare the alternate interior angles. Write down what you notice. • Step 4: Using your patty paper, compare alternate exterior. Write down what you notice. • Step 5: Determine how Same-Side interior angles are related • Step 6: Complete the following conjecture. • Parallel Lines Conjecture: If two parallel lines are cut by a transversal, then corresponding angles, alternate interior angles, and alternate exterior angles are_____________, and same-side interior angles are _____________.

  10. Video Break

  11. Assignment: Now, prove it! • Use Euclid’s Axioms to prove at least two (2) of the following: • PROVE that vertical angles are congruent • PROVE that alternate interior angles are congruent • PROVE that alternate exterior angles are congruent • PROVE that same-side interior angles are supplementary

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