Question

15 multiple choice 1 point triangle abc has vertices at a(1,2), b(3,2) and c(3,4). the triangle is rotation 180 degrees clockwise about the origin. what are the coordinates of the image of point b? (2,-3) (3,-2) (-3,-2) (-2,-3) clear my selection

Explanation:

Step1: Recall the rotation rule

When a point \((x,y)\) is rotated \(180^{\circ}\) clockwise about the origin, the new coordinates \((x',y')\) are given by \((x',y')=(-x,-y)\).

Step2: Apply the rule to point \(B(3,2)\)

For point \(B\) with \(x = 3\) and \(y=2\), then \(x'=-3\) and \(y'=-2\).

Answer:

C. \((-3,-2)\)