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Proving Quadrilaterals as Parallelograms

Learn 5 ways to prove a quadrilateral is a parallelogram with examples and exercises on finding values to establish parallelogram shapes.

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Proving Quadrilaterals as Parallelograms

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  1. Unit 7 – Day 2 6-3 Proving a Quadrilateral is a Parallelogram

  2. Warm-Up • DEFG is a parallelogram. If m<G=135, and m<F=2x. Find m<F • DEFG is a parallelogram and H is the midpoint of EG. If EG= 4x+8 and EH= x + 8, find EH.

  3. Agenda • Warm-Up • Homework Check • 6-3: Proving a Quadrilateral is a Parallelogram • Class Work • Homework

  4. HW Check • 66 • 13 • 22 • 30 • 75 • 70 • 125 • 45 • 45 • 130 • 17 • 66

  5. 6-3 Proving a Quadrilateral is a Parallelogram There are 5 Ways to Prove a Quadrilateral is a Parallelogram: 1. If both pairs of opposite sides are //

  6. 2. If both pairs of opposite sides are

  7. 3. If both pairs of opposite angles are

  8. 4. If the diagonals bisect each other

  9. 5. If one pair of opposite sides are both // AND

  10. Examples Can you conclude the following quadrilaterals are parallelograms? If so,why? 1.

  11. 2. 3.

  12. 4. 5.

  13. 6.

  14. More Examples • Find the values of x and y that make each quadrilateral a parallelogram. 1. 2.

  15. A B D C

  16. Homework Worksheet – Page 3

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