Question

For coordinates A(1,-4) B(5,-1) C(8,-5) D(4,-8)
Prove ABCD is a rectangle through the use of a coordinate paragraph.

Answer 1

Please I have struggled and i am unable to find the answer

Answer 2

I would first of all plot the points. That would give you an idea which sides would form the rectangle.
Since in a rectangle:
1. opposite sides are parallel, you can show this by finding the slopes
2. slopes of adjacent sides are negative reciprocals of each other. Use your sketch to decide which pairs of slopes to compare.

Let me know how you made out.

Answer 3

AB=3/4
BC=-4/3
CD=3/4
DA=-4/3

Paragraph
Beginning-In Order to Prove that the rectangle ABCD is a quadrilateral, there must be four right angles.

Middle-AB=3/4 BC=-4/3 CD=3/4 DA=-4/3 AB=CD BC=DA

End-Since each of the two segments are an opposite reciprocal to each other, the rectangle ABCD is a quadrilateral.

Answer 4

Good job, you have
1. shown that opposite sides are parallel
2. adjacent sides form a right angle.

Answer 5

Thank You, I will try to do well on my test tomorrow.