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 2 units from the x - axis.
point a is 1 unit from the x - axis.
po unit from the y - axis.
po units from the y - axis.
w coordinates of point a and
po
a
?
a
?

Explanation:

Step1: Determine the coordinates of point \(A\)

From the graph, point \(A\) has coordinates \((1,2)\). The distance of a point \((x,y)\) from the \(y -\)axis is given by \(|x|\). For point \(A(1,2)\), the distance from the \(y -\)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 \(A(1,2)\), after a \(90^{\circ}\) clockwise rotation around the origin, \(A'\) has coordinates \((2,- 1)\). The distance of point \(A'(2,-1)\) from the \(y -\)axis is \(|2|=2\) units.

Answer:

Point \(A\) is \(1\) unit from the \(y -\)axis. Point \(A'\) is \(2\) units from the \(y -\)axis. The coordinates of \(A\) are \((1,2)\) and the coordinates of \(A'\) are \((2, - 1)\)