Question

Write a coordinate proof of the following theorem:

If a quadrilateral is a kite, then its diagonals are perpendicular.

Answer 1

@mathstudent55

Answer 2

can i give u a vctr proof

Answer 3

It has to be a coordinate proof.

Answer 4

I'd have to do this on graph paper. I can't draw it here.
Basically, you need to start with a kite drawn on a coordinate plane showing the diagonals. The coordinates of all vertices of the kite have to be shown also.
Then you need to calculate the slopes of the two diagonals. Perpendicular lines have slopes that are negative reciprocals. You either show that the slopes are negative reciprocals (when you multiply them together you get -1), or you show that one has zero slope (horizontal line) and the other one has undefined slope (vertical line) which means they are perpendicular.

Answer 5

Hmm......