Question

Use the image to answer the question.

An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 8 to 8 in increments of 1. A triangle A B C is plotted on the graph. The triangle A B C has its vertices marked with closed points at A left parenthesis 2 comma 4 right parenthesis, B left parenthesis 6 comma 6 right parenthesis, and C left parenthesis 6 comma 2 right parenthesis.

Given point A (2, 4)
on the triangle in Quadrant I, where is the new point if the triangle is rotated 180 degrees clockwise?

(1 point)
Responses

(−2,−4)

left parenthesis negative 2 comma negative 4 right parenthesis

(4,−2)

left parenthesis 4 comma negative 2 right parenthesis

(4, 2)

left parenthesis 4 comma 2 right parenthesis

(−4, 2)

Answer 1

(−2, −4)

A 180° rotation about the origin sends (x, y) to (−x, −y), so (2, 4) → (−2, −4).