Use the image to answer the question.

Question

Point A
𝐴
is the original point before rotating. Which point represents A′
𝐴
′
after A(4, 1)
𝐴
(
4
,

1
)
is rotated 90°
90
°
counterclockwise: B
𝐵
, C
𝐶
, D
𝐷
, E
𝐸
, F
𝐹
, G
𝐺
, or H
𝐻
?

(1 point)

Answer 1

To find the point A' after rotating point A(4, 1) 90° counterclockwise, we can use the rotation formula. The transformation for a 90° counterclockwise rotation for a point (x, y) is given by:

\[ (x', y') = (-y, x) \]

Substituting A(4, 1):

\[ x' = -y = -1 \] \[ y' = x = 4 \]

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

Now, you would identify which point among B, C, D, E, F, G, or H corresponds to the coordinates (-1, 4). If you have the options visible, you should look for that point that represents (-1, 4).