Question

△ghi will be rotated 180° around the origin to form △ghi.
180° rotation:
(x,y)→(-x,-y)
h(-5,7)
what are the coordinates of point h
after the rotation?
(7,-5) (5,-7)
(-7,-5) (5,7)

Explanation:

Step1: Apply the rotation formula

Given the rotation formula \((x,y)\to(-x, -y)\) and the point \(H(-5,7)\), substitute \(x=-5\) and \(y = 7\) into the formula.
For the \(x\) - coordinate of \(H'\): \(-x=-(-5)=5\)
For the \(y\) - coordinate of \(H'\): \(-y=-7\)

Answer:

\((5,-7)\)