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Ways to Prove a Parallelogram & Identify Quadrilaterals

Learn various ways to prove a parallelogram, such as parallel sides, congruent sides, congruent opposite angles, and bisecting diagonals. Also, determine if a given quadrilateral is a parallelogram and find missing measurements to make it a parallelogram.

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Ways to Prove a Parallelogram & Identify Quadrilaterals

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  1. ? ? ____ ? WARM-UP

  2. 6-3 Tests for Parallelograms

  3. Ways to Prove something is a 1) Both pairs of sides are parallel 2) Both pairs of sides are congruent 3) Opposite angles are congruent 4) Diagonals bisect each other

  4. NEW!!! 5) One pair of sides is both congruent and parallel

  5. Answer: C Which of the following is NOT a way to prove a quadrilateral is a parallelogram? A) Show the diagonals of the quadrilateral bisect each other. B) Show one pair of opposite sides of the quadrilateral are both parallel and congruent. C) Show one pair of opposite angles of the quadrilateral are congruent. D) Show both pairs of opposite sides of the quadrilateral are congruent.

  6. Determine whether the quadrilateral is a parallelogram. Justify your answer. Answer: Both pairs of opposite sides are cong.

  7. Find x and y so that the quadrilateral is a parallelogram. Opposite sides of a parallelogram are congruent.

  8. Who wants to find y on the whiteboard???

  9. TOO Find m so that the quadrilateral is a parallelogram. A.m = 2 B.m = 3 C.m = 6 D.m = 8

  10. Homework WS 6-3 (both sides)

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