## brittanyburton 2 years ago Is a shape with the vertices (2, 2), (5, -5), (1, -7), and (-2, 0) best classified as a parallelogram, rectangle, or neither? A. Parallelogram B. Rectangle C. Neither

1. rizwan_uet

plot the points on graph paper you will know what is it

2. manishsatywali

for algebraic analysis find the slope of each of the 4 lines

3. brittanyburton

I'm on a computer...not with paper. Ya know... I have 4 questions left, so I'd love the answer~

4. manishsatywali

ans. is c

5. mathstudent55

Here's computer "graph paper." Now try plotting the points. |dw:1358753411282:dw|

6. mathstudent55

|dw:1358753528544:dw|

7. brittanyburton

so then what's the answer? @mathstudent55

8. 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.