Use the image to answer the question.

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?

(1 point)
(
)

Answer 1

To find the new coordinates of point A(2, 6) after a rotation of 90 degrees counterclockwise around the origin, we can use the rotation rule for counterclockwise rotations about the origin.

The rule states that if a point has coordinates (x, y) after a 90-degree counterclockwise rotation, the new coordinates will be (-y, x).

Applying this rule to point A(2, 6):

• The original coordinates are (x, y) = (2, 6).
• After the rotation, the new coordinates will be (-y, x) = (-6, 2).

Thus, the new point after a 90 degrees counterclockwise rotation of point A(2, 6) will be at the coordinates (-6, 2).

So, the answer is: (-6, 2)