Question

180 Degree Rotations Quick Check

4 of 54 of 5 Items

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 90 degrees counterclockwise?

(1 point)
Responses

(4,−2)
left parenthesis 4 comma negative 2 right parenthesis

(−4,−2)
left parenthesis negative 4 comma negative 2 right parenthesis

(−2,−4)
left parenthesis negative 2 comma negative 4 right parenthesis

(−4, 2)
left parenthesis negative 4 comma 2 right parenthesis
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Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine the new point when the triangle is rotated 90 degrees counterclockwise, we can analyze the movement of each vertex.

Given point A (2, 4) in Quadrant I, when rotated 90 degrees counterclockwise, the x-coordinate becomes the negative of the y-coordinate, and the y-coordinate becomes the x-coordinate.

Therefore, the new point will have coordinates (-4, 2).

So, the correct response is: (−4, 2)