180 Degree Rotations Practice

Complete this assessment to review what you've learned. It will not count toward your grade.
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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 6 right parenthesis, B left parenthesis 6 comma 4 right parenthesis, and C left parenthesis 2 comma 2 right parenthesis.

Given point A(2, 6) on the triangle, where would the new point on the triangle be after a rotation of 90 degrees counterclockwise?

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1 answer

The new point on the triangle after a rotation of 90 degrees counterclockwise can be found by applying the following formula:

(x', y') = (-y, x)

So, using the coordinates of point A(2, 6), we can calculate the new coordinates as follows:

x' = -6
y' = 2

Therefore, the new point on the triangle after a rotation of 90 degrees counterclockwise would be (-6, 2).