Question

what is the distance from point a and point a to each of the axes?
point a is 2 units from the x - axis.
point a is 1 unit from the x - axis.
point a is 1 unit from the y - axis.
point a is 2 units from the y - axis.
what are the coordinates of point a and point a?
a?
a?

Explanation:

Step1: Determine the coordinates of point A

The distance from point A to the x - axis is 2 units (y - coordinate) and to the y - axis is 1 unit (x - coordinate). Since it is in the second quadrant (assuming standard coordinate system with positive x to the right and positive y up), the coordinates of point A are \((- 1,2)\).

Step2: Determine the coordinates of point \(A'\)

The distance from point \(A'\) to the x - axis is 1 unit (y - coordinate) and to the y - axis is 2 units (x - coordinate). Since it is in the first quadrant, the coordinates of point \(A'\) are \((2,1)\).

Answer:

\(A(-1,2)\), \(A'(2,1)\)