Question

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

Explanation:

Step1: Identify the coordinates of point H

The coordinates of point H are \((-5,7)\).

Step2: Apply the 180° rotation rule

The rule for a 180° rotation around the origin is \((x,y)\to(-x,-y)\).
For point \(H(-5,7)\), substitute \(x = - 5\) and \(y = 7\) into the rule:
\(-x=-(-5) = 5\) and \(-y=-7\).

Answer:

\((5,-7)\)