Question

if points Q and R are the reflections of point P (- 3, 4) in x and y axis respectively what is QR

Answer 1

The length of QR is 10.

Explanation

The co ordinate of the given point P is (-3, 4)

When reflecting about the x-axis, then the sign of the y co ordinate will be changed and when reflecting about the y-axis, then the sign of the x co ordinate will be changed.

Here, points Q and R are the reflections of point P about x and y axis respectively.

So, the co ordinate of point Q = (-3, -4) and the co ordinate of point R = (3, 4)

Now, using the distance formula, the length of QR will be:  $\sqrt{(-3-3)^2+(-4-4)^2}=\sqrt{(-6)^2+(-8)^2}=\sqrt{36+64}=\sqrt{100}=10$