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? options: (7, -5), (5, -7), (-7, -5), (5, 7)

Explanation:

Step1: Identify coordinates of H

Point H is (-5, 7).

Step2: Apply 180° rotation rule

Rule: $(x,y) \to (-x,-y)$. For H(-5,7): $-(-5)=5$, $-(7)=-7$.

Answer:

B. (5, -7)