Question

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

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 \(M(4,3)\)

For point \(M(4,3)\), after a \(90^{\circ}\) clockwise rotation around the origin, using the rule \((x,y)\to(y, -x)\), we substitute \(x = 4\) and \(y=3\). So the new coordinates of \(M'\) are \((3,-4)\).

Step3: Analyze the \(y -\)coordinate of \(M'\)

The \(y -\)coordinate of \(M'\) is \(- 4\). The \(x -\)coordinate of \(M\) is \(4\), the opposite of the \(x -\)coordinate of \(M\) is \(-4\).

Answer:

Opposite of \(x -\)coordinate of point \(M\)