Question

The point(-3,3) is successively reflected across the x-axis, then y-axis and then x axis again. What is the area of the square formed by these 4 points?

Answer 1

36

Explanation:

Plot all the points

(-3,3) reflected across the x axis would give you (-3,-3). (-3,-3) reflected across the y axis would give you (3,-3) and then reflected across the x axis again would give you (3,3)

Plot

(-3,3)

(-3,-3)

(3,-3)

(3,3)

Draw the perimeter of a square connecting the points.

Count the units from left to right and top to bottom.

Both are 6 units since it is a square.

You have found the length and width, so multiple them to get the area.

L×W= Area

6×6= 36

36 is the area of the box.