Is a shape with the vertices (2, 2), (5, -5), (1, -7), and (-2, 0) best classified as a parallelogram, rectangle, or neither?
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plot the points on graph paper you will know what is it
for algebraic analysis find the slope of each of the 4 lines
I'm on a computer...not with paper. Ya know... I have 4 questions left, so I'd love the answer~
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ans. is c
Here's computer "graph paper." Now try plotting the points.
so then what's the answer? @mathstudent55
Notice that two opposite sides have a rise and run of 4 and 2. The other two opposite sides have a rise and run of -7 and 3. Therefore both pairs of opposite sides are congruent. It's at least a parallelogram.
Is it also a rectangle? Are slopes 2/4 and -7/3 negative reciprocals? Simplify them and multiply them together. If their product is -1, they are and it's a rectangle, if not, it's not a rectangle.
2/4 = 1/2
1/2 * (-7)/3 = -7/6 which is not -1, so it's not a rectangle, but it is a parallelogram.