Question

The point I(–4, –1) is rotated 90° about the origin. What is the image of I?

A) I(1, -4)
B) I(4, 1)
C) I(1, 4)
D) I(4, -1)

Answer 1

The image of point I(–4, –1) when rotated 90° about the origin is at A) I(1, -4).

Step-by-step explanation:

To find the image of a point after a rotation of 90° about the origin, we can use the rules that apply to rotations on the coordinate plane.

When a point (x, y) is rotated 90° counterclockwise about the origin, its image becomes (-y, x). In this case, the original point is I(–4, –1).

Now, we simply apply the rule to the point:

Original x coordinate: -4
Original y coordinate: -1

Rotated x coordinate = - (Original y coordinate) = - (-1) = 1
Rotated y coordinate = Original x coordinate = -4

So, after rotating the point I(–4, –1) by 90° counterclockwise about the origin, the new coordinates are (1, -4).

The correct answer is:
A) I(1, -4)