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Transcript
Parallelograms (part 2) Ways to Prove a Quadrilateral is a Parallelogram Ø Show both pairs of opposite sides are parallel. Ø Show both pairs of opposite sides are congruent. Ø Show both pairs of opposite angles are congruent. Ø Show one angle is supplementary to both consecutive angles. Ø Show the diagonals bisect each other. Ø Show one pair of opposite sides are congruent and parallel. Using Coordinate Geometry Ø Use slope to prove sides are parallel. (parallel lines have the same slope) Ø Use the Distance Formula or the Pythagorean Theorem to prove sides are congruent. 1 Parallelograms (part 2) The vertices of quadrilateral ABCD are A(– 3, – 3), B(–1, 1), C(2, 0), D(0, – 4). 1. Graph quadrilateral ABCD. 2. Find the slope of 3. Find the slope of 4. Find the length of 5. Find the length of 6. Is quadrilateral ABCD a parallelogram? 2
