Question

rotate point b 90° clockwise around the origin. in which quadrant is point b? quadrant i quadrant ii quadrant iii quadrant iv

Explanation:

Step1: Determine the coordinates of point B

From the graph, point B has coordinates \((2,1)\).

Step2: Apply the 90° clockwise rotation formula

The formula for rotating a point \((x,y)\) 90° clockwise around the origin is \((x,y)\to(y,-x)\).
For point \(B(2,1)\), after rotation: \(x = 2,y = 1\), so \(B'\) has coordinates \((1,-2)\).

Step3: Identify the quadrant of \(B'\)

In the coordinate plane, Quadrant IV has positive \(x\)-coordinates and negative \(y\)-coordinates. Since \(B'(1,-2)\) has \(x = 1>0\) and \(y=-2 < 0\), it lies in Quadrant IV.

Answer:

Quadrant IV