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What is a quadrilateral? List as many types of quadrilaterals that you can think of.

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Presentation on theme: "What is a quadrilateral? List as many types of quadrilaterals that you can think of."— Presentation transcript:

1 What is a quadrilateral? List as many types of quadrilaterals that you can think of.

2 Chapter 8 Quadrilaterals 8.3 Showing Quadrilaterals are Parallelograms Page 522 February 17, 2015

3 Parallelogram Definition? With your partners, come up with a definition of a parallelogram. A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

4 Is the following quadrilateral a parallelogram?

5 You must be able to prove a quadrilateral is a parallelogram by showing one of the following: 1.Show both pairs of opposite sides are parallel. (Definition) 2.Show both pairs of opposite sides are congruent. (Theorem 8.7 in book) 3. Show both pairs of opposite angles are congruent. (Theorem 8.8 in book)

6 You must be able to prove a quadrilateral is a parallelogram by showing one of the following: 4. Show one pair of opposite sides are congruent and parallel. (Theorem 8.9 in book) 5. Show the diagonals bisect. (Theorem 8.10 in book)

7 Is the following quadrilateral a parallelogram? If yes, explain your reasoning. 72° 108°

8 For what value of x is quadrilateral MNOP a parallelogram?

9 Find the coordinates of point D such that quadrilateral ABCD is a parallelogram. A(-2, -3), B(4, -3), C(3, 2), D(x, y)

10 Homework pg. 526 # 4 – 6, 8 – 10, 15 – 21, 26, 28


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