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?

5 answers

If the triangle is rotated 90 degrees counterclockwise, the new point A' will be in Quadrant IV.
nope
Apologies for that mistake. If the triangle is rotated 90 degrees counterclockwise, the new point A' will be in Quadrant II.
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 negative 4 comma negative 2 right parenthesis

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

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

(−4, 2)
To rotate a point 90 degrees counterclockwise, we can use the following formulas:

New x-coordinate = -y
New y-coordinate = x

For the point A (2, 4):
New x-coordinate = -4
New y-coordinate = 2

Therefore, the new point A' is (-4, 2).
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