Question

rotate point b 90° clockwise around the origin.
in which quadrant is point b?
quadrant iv
rotate point c 90° counterclockwise around the origin.

Explanation:

Step1: Identify coordinates of B

From the graph, point \( B \) has coordinates \( (2, 1) \) (assuming each grid is 1 unit, moving 2 right on x - axis and 1 up on y - axis).

Step2: Apply 90° clockwise rotation rule

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

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

In the coordinate system, 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