Question

Quadrilateral PAID is a rectangle whose diagonals have the endpoints P(-3, -2)I(4, -7) and A(4, -2)D(-3, -7). Find the diagonals' intersection point. In complete sentences, explain which method you used for finding the intersection point.

Complete your work in the space provided or upload a file that can display math symbols if your work requires it. If necessary, leave your answers in terms of a fraction.

Answer 1

I need help on this

Answer 2

it tell me to write a complete sentences

Answer 3

Well, you would have to find the equation of the line that represents the diagonals, and then, just intersect them with a system of equation 2x2.

Answer 4

ok

Answer 5

@sleepyjess

Answer 6

@rational

Answer 7

you may simply find the midpoint of PI

Answer 8

I did but tell me to write a complete sentence about this

Answer 9

P=(-3, -2)
I=(4, -7)

Since the diagonals bisect each other in a rectangle, the diagonals intersect at the midpoint of diagonals.

use the midpoint formula to find the intersecting point of diagonals

Answer 10

midpoint = \[\left(\frac{-3+4}{2},~~\frac{-2-7}{2}\right)=\left(\frac{1}{2},~~\frac{-9}{2}\right)\]

Answer 11

ok I solve all

Answer 12

you're done! midpoint is same as the intersecting point of diagonals

Answer 13

yes