Question 1190347: Sammy and Pippa's teacher gives them a homework question to solve. She tells them to plot the points A(5, -1), B(9, 4), C(15, 1) and D(11, -4) on a grid and decide whether the shape is a square or a rhombus. Sammy and Pippa do their slope calculations and Sammy insists the shape is a square whereas Pippa insists the shape is a rhombus.
Who is right?
Pipa is right
Show your calculations in your reasoning!
Answer by greenestamps(13203)   (Show Source):
You can put this solution on YOUR website!
The calculations (slopes and side lengths) are simple enough that you can do them yourself; there should be no need for me to show them.
slopes: 5/4, -1/2, 5/4, -1/2 -- so both pairs of opposite sides are parallel
lengths: sqrt(41), sqrt(45), sqrt(41), sqrt(45) -- the sides are not all the same length
ANSWER: Neither of them is right -- the figure is neither a square nor a rhombus -- it is a parallelogram
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