Question

▶abc is rotated 90° clockwise around the origin to form ▶abc.
what is the distance from point a and
point a to each of the axes?
point a is
point a is
from the x - axis.
1 unit
2 units
3 units
4 units

Explanation:

Step1: Determine the coordinates of point A

From the graph, point A has coordinates \((-1,1)\). The distance of a point \((x,y)\) from the \(x\) - axis is given by \(|y|\). For point A, \(y = 1\), so the distance from point A to the \(x\) - axis is \(|1|=1\) unit.

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

When a point \((x,y)\) is rotated \(90^{\circ}\) clockwise around the origin, the transformation rule is \((x,y)\to(y, - x)\). For point \(A(-1,1)\), after rotation, \(A'\) has coordinates \((1,1)\). The distance of point \(A'\) from the \(x\) - axis is given by \(|y|\) (where for \(A'\), \(y = 1\)). So the distance from point \(A'\) to the \(x\) - axis is \(|1| = 1\) unit.

Answer:

Point A is \(1\) unit from the \(x\) - axis. Point \(A'\) is \(1\) unit from the \(x\) - axis.