Question

multiple choice 8 points
triangle xyz has vertices x(1,1), y(3,5) and z(5,1), will be rotated 180 degrees about the origin. what will be the coordinates of y?
(-5,3)
(-3,-5)
(5,-3)
(5,3)

Explanation:

Step1: Recall rotation rule

The rule for rotating a point $(x,y)$ 180 - degrees about the origin is $(x,y)\to(-x,-y)$.

Step2: Apply rule to point Y

Given point $Y(3,5)$, when rotated 180 - degrees about the origin, $x = 3$ and $y = 5$. So, $Y(3,5)\to Y'(-3,-5)$.

Answer:

B. (-3,-5)