Question

which coordinate is the same as the x - coordinate of point m? opposite of y - coordinate of point m opposite of x - coordinate of point m y - coordinate of point m x - coordinate of point m

Explanation:

Step1: Recall the rule for 90° clockwise rotation

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

Step2: Identify the coordinates of point \(M\)

The coordinates of point \(M\) in \(\triangle LMN\) are \((4,3)\).

Step3: Apply the rotation rule

For a \(90^{\circ}\) clockwise rotation, if \(M=(x = 4,y = 3)\), then \(M'=(y,-x)=(3,-4)\).

Step4: Compare coordinates

The \(y -\)coordinate of \(M=(4,3)\) is \(y = 3\), and the \(x -\)coordinate of \(M'=(3,-4)\) is \(x'=3\).

Answer:

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