Question

Point M(−4,4) on the coordinate plane is reflected over the y-axis to create point M′ . Point M′ is then reflected over the x-axis to create point M′' . What ordered pair describes the location of M′′ ?

a) (−4,−4)
b) (4,−4)
c) (−4,4)
d) (4,4)

Answer 1

The ordered pair describing the location of point M'' after two reflections is (4,-4), corresponding to option b).

Step-by-step explanation:

The question involves reflections in the coordinate plane.

The point M(-4,4) is reflected over the y-axis to create point M'. When a point is reflected over the y-axis, its x-coordinate changes sign, so M' will have coordinates (4,4).

Then, point M' is reflected over the x-axis to create point M''.

A reflection over the x-axis changes the sign of the y-coordinate, so M'' will have coordinates (4,-4).

Therefore, the ordered pair that describes the location of M'' is (4,-4), which corresponds to option b).