Question

the quadrilateral ABCD is a square,where A is (4,5)and C is (3,-2)
a)find the coordinate of B and D

Answer 1

you can use the property of a square that all sides are equal in a square..
soo AB=BC=CD=AD .
lets take 2 of the opposite sides like AB and CD.
using distance formula,

now when u solve it you get the desired answer

Answer 2

I would find the equation of the perpendicular bisector of AC

Answer 3

I have the 2 points plotted and it doesn't look as if it is forming a square.

Answer 4

Nobody said the square needs to be horizontal @wolf1728

Answer 5

okay, kc_kennylau - I get the idea - and thanks

Answer 6

i dont understand ive find the equation of ac and bd and the midpoint of ac but how it connect to the coordinate?

Answer 7

Extending from @aayushi.somani 's approach, we don't need to use distances, only using slopes is enough.

Answer 8

His approach may be easier.

Answer 9

@azazell If you want to use my approach, still set the coordinates to x1,y1 and x2,y2, then combine the distance formula with your equations

Answer 10

btw @kc_kennylau i am a girl ..! and we can use distance formula as well..!

Answer 11

You have my apologies.