Question

The point P(4,-7) is reflected in the
origin to point P'. The point P is then
reflected in the x-axis to the point P'​

Answer 1

Given:

Point P = (4,-7)

To find:

1) P' : Reflection in origin (0,0)

2) P' : Reflection in x-axis

Solution:

1) P' : Reflection in origin (0,0)

If the point is reflected in the origin, the image of the point (x,y) is the (-x,-y).

P = (4,-7)

P' = (-4,7)

So, the image of the point (4,-7) is the (-4,7) if the point is reflected in the origin.

2) P' : Reflection in x-axis

If the point is reflected in the x-axis, the image of the point (x,y) is the (x,-y).

P = (4,-7)

P' = (4,7)

So, the image of the point (4,-7) is the (4,7) if the point is reflected in the x-axis.