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△lmn is rotated 90° clockwise around the origin to form △lmn which coor…

Question

△lmn is rotated 90° clockwise around the origin to form △lmn
which coordinate is the same as the
x - 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 \((x',y')=(y, -x)\).

Step2: Apply the rule to point \(M\)

Let the coordinates of point \(M\) be \((x,y)\). After a \(90^{\circ}\) clockwise rotation around the origin, the coordinates of \(M'\) are \((y,-x)\). The \(x -\)coordinate of \(M'\) is \(y\), which is the \(y -\)coordinate of point \(M\).

Answer:

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