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?
(3,-2)
(-3,-2)
(-2,-3)
(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 the rule \((x',y')=(-x,-y)\).

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

Here \(x = 3\) and \(y=2\). Substitute into the formula: \(x'=-3\) and \(y'=-2\).

Answer:

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