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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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.
Answer by MathTherapy(10555)   (Show Source): 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.  

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