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 \((x',y')=(y,-x)\).
For point \(A(-1,2)\), after a \(90^{\circ}\) clockwise rotation around the origin:
\(x' = 2\), \(y'=-(-1) = 1\), so \(A'=(2,1)\)

Step2: Compare the coordinates

The \(x -\)coordinate of \(A'\) is \(2\).
The \(x -\)coordinate of \(A\) is \(- 1\), the \(y -\)coordinate of \(A\) is \(2\), the opposite of the \(x -\)coordinate of \(A\) is \(1\), the opposite of the \(y -\)coordinate of \(A\) is \(-2\)

Answer:

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