Question

Complete the following proof.

Prove: The diagonals of a square are perpendicular.
https://media.glynlyon.com/o_geo_2010/9/q417a.gif

Answer 1

find the slope of AC and BD adn see that their product is -1

Answer 2

but how do i find the slope of them?

Answer 3

slope of line joining A(0,0) and C(a,a,) is m1 = (a-0)/(a-0)= 1

Answer 4

slope od line joining B (a,0) and D (0,a) is m2= (a-0)/(0-a) =-1

Answer 5

so those are my slopes? how did you get numbers from letters?

Answer 6

thus the product of the slopes of AC and BD is -1
hence AC and BD are at right angles

Answer 7

slope of line joining (x1,y1) and (x2,y2) is given by (y2-y1)/(x2-x1)

Answer 8

thank you so much for your help!

Answer 9

welcome dear