Question

Quadrilateral ARMYARMYA, R, M, Y is rotated 90^\circ90∘90, degrees about the origin.

-A: 3,3
-R: 5,7
-M: 7,5
-Y: 5,1

Answer 1

To rotate each coordinate of the given points A, R, M, and Y 90 degrees counterclockwise about the origin, we can use the rotation matrix.

Step-by-step explanation:

To rotate a point 90 degrees counterclockwise about the origin, we can use the rotation matrix:

R = [0 -1] [1 0]

Using this matrix, we can apply the rotation to each coordinate of the given points A, R, M, and Y to find their new coordinates after rotation:

A' = R * A = [0 -1] * [3 3] = [-3 3]

R' = R * R = [0 -1] * [5 7] = [-7 5]

M' = R * M = [0 -1] * [7 5] = [-5 -7]

Y' = R * Y = [0 -1] * [5 1] = [-1 5]

Therefore, the new coordinates of the quadrilateral ARMY after a 90-degree counterclockwise rotation are:

A'(-3,3), R'(-7,5), M'(-5,-7), Y'(-1,5).