Question

A rectangle is transformed according to the rule R 0,90 degrees. The image of the rectangle has vertices located at R*(-2.4), S'(-1, 1). P'(-1,4). and Q'(-2, 4). What is the location of Q? Explain your answer.

a. (-2, 4)
b. (-4, 2)
c. (-4, -2)
d. (-2, -4)

Answer 1

By reversing the 90-degree rotation transformation, we find that the original coordinates of Q are (-4, -2) before it was transformed to Q'(-2, 4). This corresponds to option (c).

Step-by-step explanation:

The transformation in question seems to be a rotation of 90 degrees. To find the location of a point Q before it was rotated to Q'(-2, 4), we need to reverse the rotation. We observe that after a 90-degree rotation around the origin, the coordinates of a point (x, y) become (y, -x).

Therefore, to find the original position of Q, we take the coordinates of Q' and swap them, while also changing the sign of the second coordinate to get the coordinates of Q. If we apply this to point Q'(-2, 4), we swap the coordinates and change the sign of the second coordinate to get Q(-4, -2), which corresponds to option (c).