Question

△abc is rotated 90° clockwise around the origin to form △abc. which coordinate is the same as the x - coordinate of point a? x - coordinate of point a y - coordinate of point a opposite of x - coordinate of point a opposite of y - coordinate of point a

Explanation:

Step1: Recall the rotation rule

When a point \((x,y)\) is rotated \(90^{\circ}\) clockwise around the origin, the new coordinates \((x',y')\) are given by the rule \((x,y)\to(y, -x)\).

Step2: Apply the rule to point \(A(-1,2)\)

For point \(A(-1,2)\), using the rotation rule \((x,y)\to(y, -x)\), we substitute \(x=-1\) and \(y = 2\). Then \(x'=2\) and \(y' = 1\). The \(x\) - coordinate of \(A'\) is \(2\), and the \(y\) - coordinate of \(A\) is \(2\).

Answer:

B. \(y\) - coordinate of point \(A\)