Question

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?

(1 point)

Answer 1

To find the new point after a rotation of 90 degrees counterclockwise, we can use the rotation rules for points in a coordinate plane.

To rotate a point counterclockwise by 90 degrees, we need to swap the x and y coordinates of the point and negate the new x coordinate.

For point A(2, 6), the new x coordinate would be -(6) = -6, and the new y coordinate would be 2.

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