Question

below is the table for the coordinates of a triangle on the coordinate plane. if the triangle is rotated 180 degrees about the origin clockwise, what will be the coordinates of point c?

points	x	y
b	-1	4
c	-5	2

(-5, -2)
(-5, 2)
(5, 2)
(5, -2)

Explanation:

Step1: Recall rotation rule

When a point $(x,y)$ is rotated 180 - degrees clockwise about the origin, the new - coordinates $(x',y')$ are given by $x'=-x$ and $y'=-y$.

Step2: Apply rule to point C

The coordinates of point C are $(-5,2)$. For $x = - 5$ and $y = 2$, after rotation, $x'=-(-5)=5$ and $y'=-2$.

Answer:

$(5, - 2)$