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GBK Geometry

GBK Geometry. Jordan Johnson. Today’s plan. Greeting Review Asg #53: Ch. 6 Algebra Review: Exercises 1-20. Warm-up: Cards & Symmetry Quadrilateral Conjectures & Proofs Homework / Questions Clean-up. Warm-up Activity. Take out your deck of playing cards. Separate them into 4 piles:

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GBK Geometry

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  1. GBK Geometry Jordan Johnson

  2. Today’s plan • Greeting • Review Asg #53: Ch. 6 Algebra Review: • Exercises 1-20. • Warm-up: Cards & Symmetry • Quadrilateral Conjectures & Proofs • Homework / Questions • Clean-up

  3. Warm-up Activity • Take out your deck of playing cards. • Separate them into 4 piles: • Cards that have point symmetry. • Cards that have line symmetry. • Cards that have both kinds of symmetry. • Cards that have neither. • Are there any that are almost symmetric? • What would you have to change to get symmetry?

  4. Conjectures • Atticus’ Conjecture: • The diagonals of a parallelogram divide the parallelogram into two congruent triangles. • Eva’s Conjecture: • If a quadrilateral has two pairs of equal opposite angles, it is a parallelogram. • I.e., if A = C and B = D, then ABCD is a parallelogram. • Conjecture (whose?): • All rectangles are parallelograms. • I.e., if quadrilateral ABCD is a rectangle, it is also a parallelogram.

  5. Homework • For Friday, 2/22: • Read & take notes on Ch. 7 L. 3. • For Monday, 2/25: • Asg#54: From Chapter 7, Lesson 1 (pp. 260-263): • Set I Exercises 1-15 • Set II Exercises 28-55 • Bonus: Set III.

  6. Clean-up / Reminders • Pick up all trash / items. • Push in chairs (at front and back tables). • See you tomorrow!

  7. Proof Practice • Prove: A rectangle is a parallelogram. • Given: (1) ABCD is a rectangle. • Prove: ABCD is a parallelogram. • Proof: • Angles A, B, C, and D are right angles by definition (of rectangle). • A = C =90° and B = D = 90° by def. of right angle. • ABCD is a parallelogram (by Theorem since its opposite angles are equal.

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