Download Parallelograms (part 2)

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.
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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?
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