Prove that the points A(0,-4) B(3,-1) C(-2,4) and D(-5,1) are vertices of a rectangle and find its perimeter.

Question

hero · Answer

The points form a rectangle if the segments created by those points satisfy the properties of a rectangle

anonymous · Answer

hmm. what do u think is the formula?

hero · Answer

Pythagorean Theorem

hero · Answer

And P = 2l + 2w

anonymous · Answer

Find the slope of the line forming by two points.
they must be parallel

anonymous · Answer

That is for the proving part.

anonymous · Answer

First find the equations forming by two points

hero · Answer

attachment

hero · Answer

1. Prove that it is a parallelogram
2. Prove that the diagonals bisect each other
3. Prove that opposite sides are congruent.
3. If a figure is a parallelogram, and if its opposite sides are congruent, and if its diagonals bisect each other, then that figure must be a rectangle.