A baseball field is being constructed. The builders noticed that the batters would have the sun in their eyes when batting from point A. The builders decided to rotate the model 90° counterclockwise about the origin. Where is the new location of the batter?
A
∠E
B
∠F
C
∠G
D
∠H
To determine the new location of the batter after rotating the model 90° counterclockwise about the origin, you can use the coordinate plane.
Let's assign coordinates to the original location of the batter at point A. Suppose point A has coordinates (x, y).
When you rotate a point 90° counterclockwise about the origin, the x-coordinate becomes the new y-coordinate, and the y-coordinate becomes the negative of the new x-coordinate. This can be represented as (y, -x).
Plugging in the coordinates of the original location, the new location becomes (-y, -x).
Now, let's consider the answer choices:
A) ∠E: This choice represents an angle, not a point on the coordinate plane, so it cannot be the new location of the batter.
B) ∠F: Same as choice A, this represents an angle, not a point on the coordinate plane.
C) ∠G: Similarly, this also represents an angle and not a point on the coordinate plane.
D) ∠H: Again, this represents an angle and not a point on the coordinate plane.
None of the answer choices provided represent the new location of the batter.