Question

Point A is the original point before rotating. Which point represents A′ after A(4, 1) is rotated 90° counterclockwise: B , C , D , E , F , G , or H ?

Answer 1

To find the coordinates of point A' after rotating point A(4, 1) 90° counterclockwise about the origin, we can use the following transformation rule:

When a point (x, y) is rotated 90° counterclockwise, the new coordinates become (-y, x).

For point A(4, 1):
- x = 4
- y = 1

After applying the transformation:
- New x-coordinate = -y = -1
- New y-coordinate = x = 4

Thus, the coordinates of A' after the rotation are A'(-1, 4).

You would need to compare these coordinates to the list of points (B, C, D, E, F, G, H) to find which point corresponds to A'.