SOLUTION: So I took a state test today and I'm not sure if I messed up or if I will get partial credit for my work, but here goes.
We had to prove a quadrilateral was a rectangle and I show
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We had to prove a quadrilateral was a rectangle and I show
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Question 973512: So I took a state test today and I'm not sure if I messed up or if I will get partial credit for my work, but here goes.
We had to prove a quadrilateral was a rectangle and I showed that all the adjacent slopes were negative reciprocal giving it all right angles.
IS THAT ENOUGH?
Did I have to show it was a parallelogram first? Found 2 solutions by KMST, MathTherapy:Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! I say your answer should get full credit.
It proves it is a rectangle, and does so efficiently.
A quadrilateral with four right angles has to be a rectangle.
If all four corners were right angles, opposite sides had to be parallel.
You can put this solution on YOUR website! So I took a state test today and I'm not sure if I messed up or if I will get partial credit for my work, but here goes.
We had to prove a quadrilateral was a rectangle and I showed that all the adjacent slopes were negative reciprocal giving it all right angles.
IS THAT ENOUGH?
Did I have to show it was a parallelogram first?
I believe that you will get partial credit since you didn't quite prove that it's a rectangle.
Proving that adjacent sides have slopes that are negative reciprocals of each other does prove that
the 4 angles are right angles.
However, this is also the definition of a square. I believe that you should have gone one step further by
proving two adjacent sides non-congruent, and opposite sides congruent. Thus, it would definitely be a rectangle.
