Question

Point L is a vertex on Figure P. Figure P is rotated 90° clockwise around the origin. What are the coordinates of Point L' after the rotation?

A) (1, -6)
B) (2, 4)
C) (4, -2)
D) (4, 2)

Answer 1

When a point is rotated 90° clockwise around the origin, the x-coordinate becomes the y-coordinate and the y-coordinate becomes the negative of the x-coordinate. The coordinates of Point L' after the rotation are (1, -6). The correct answer is A.

Step-by-step explanation:

When a point is rotated 90° clockwise around the origin, the x-coordinate becomes the y-coordinate and the y-coordinate becomes the negative of the x-coordinate. First, let's identify the original coordinates of Point L. Then we can apply the rotation to find the coordinates of Point L'.

Let's say the coordinates of Point L are (x, y). After the 90° clockwise rotation, the new coordinates (x', y') can be found using the following formulas:

x' = y

y' = -x

So, the original coordinates of Point L become the new coordinates of Point L'. Therefore, the coordinates of Point L' are (1, -6). The correct option is A.