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Parallelograms Parallelogram - A quadrilateral with both pairs of opposite sides parallel. Theorem 8.3 Opposite sides of a parallelogram are congruent.

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Presentation on theme: "Parallelograms Parallelogram - A quadrilateral with both pairs of opposite sides parallel. Theorem 8.3 Opposite sides of a parallelogram are congruent."— Presentation transcript:

1 Parallelograms Parallelogram - A quadrilateral with both pairs of opposite sides parallel. Theorem 8.3 Opposite sides of a parallelogram are congruent. Theorem 8.4 Opposite angles of a parallelogram are congruent.

2 Parallelograms Theorem 8.5
Consecutive angles in a parallelogram are supplementary. Theorem 8.6 If a parallelogram has one right angle, it has four right angles. Theorem 8.7 The diagonals of a parallelogram bisect each other. Theorem 8.8 Each diagonal of a parallelogram separates the parallelogram into two congruent triangles.

3 ABCD is a parallelogram.
Answer: Example 2-2d

4 A B C D MULTIPLE-CHOICE TEST ITEM What are the coordinates of the intersection of the diagonals of parallelogram LMNO, with vertices L(0, –3), M(–2, 1), N(1, 5), O(3, 1)? Answer: B Example 2-3c


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