Question

I have no idea how to solve this problem. The question says:
Determine whether the points A(4,5), B(-3,3), C(-6,-13) and D(6,-2) are the vertices of a kite. Explain your answer.
Can you please help me with the steps to solve it and understanding it.

Answer 1

Graph all the points given on the xy-plane. If you get a picture of a KITE, then the answer is yes.

Of course, I graphed all the points for you and determined that the given 4 points form a picture of a kite.

Done!

Answer 2

first draw it.
It looks kind of like a kite with the tip at A, the tail at C, the wing tips at B and D
let's see if AC is perpendicular to BD
slope C to A = (5+13)/(4+6) = 18/10 = 1.8
slope B to D = (-2-3)/(6+3) = -5/9
ah ha, slope 2 = -1/slope 1, they are perpendicular
This sure looks like a kite.
the final proof would be to find the intersection P of the lines BD and AC and see if BP = PD

Answer 3

Thanks! =)
But one more question about this...
I looked in the back of the book for help because that's where all the answers are (No I don't use it to cheat. Knowing the answers helps me to figure how the steps to solve it.) and it said something about slopes and using the distance formula. Am I suppose to use that instead?

Answer 4

geometric concept is modeled by the beam of a flashlight