Identify the rotation rule on a coordinate plane that verifies that triangle A(2,-1), B(4,1), C(3,3) and triangle A'(-2, 1), B'(-4,-1), C'(-3,-3) are congruent when rotated 180°?

Question

A) (x, y) → (-y, x)
B) (x, y) → (-x, -y)
C) (x, y) → (y, -x)
D) the triangles are not congruent

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Answer 1 · 2018-02-22T08:42:22

is $B) (x,y) -> (-x, -y)$

enter image source here

By using the rule for a 180 degrees rotation, we can get the coordinates for the image: (x, y) becomes (-x, -y)

Hence the answer is $B) (x,y) -> (-x, -y)$