Question

The side AB square ABCD is parallel to the x-axis. Find the slopes of all its sides.

Also, find :

(i) the slope of the diagonal AC,

(ii) the slope of the diagonal BD.

Answer 1

We know that the slope of any line parallel to x-axis is 0.

Therefore, slope of AB = 0

As CD || BC, slope of CD = Slope of AB = 0

As BC $\perp$ AB, slope of BC =

As AD $\perp$ AB, slope of AD =

(i) The diagonal AC makes an angle of ${45}^{\circ }$ with the positive direction of x axis.

(ii) The diagonal BC makes an angle of -${45}^{\circ }$ with the positive direction of x axis.