Point A in this figure is to be rotated 90° in a clockwise direction. The center of the rotation is the origin.

Link the the figure: h ttps://imgur.com/a/GjrXd1v

Where does point A end up?

A. on segment CD

B. inside triangle BCD

C. outside of triangle BCD

D. on segment BC

well, such a rotation takes (x,y)→(y,-x)

so A→(5,0)
so, what do you think?

D

To determine where point A ends up after rotating 90° clockwise about the origin, we can follow these steps:

1. Identify the coordinates of point A. In the given figure, the coordinates of point A are (2, 2).

2. Apply the rotation formula. To rotate a point (x, y) 90° clockwise about the origin, the new coordinates (x', y') can be found using the following formulas:

x' = y
y' = -x

3. Substitute the coordinates of point A into the rotation formulas:

x' = 2
y' = -2

4. Substitute the calculated values into the coordinates of point A, which gives us the new coordinates for point A after rotating 90° clockwise:

Point A ends up at coordinates (2, -2).

5. Locate point A on the figure. By referring to the figure, we can see that point A ends up on segment CD.

Therefore, the answer is: A. on segment CD.

To find out where point A ends up after rotating 90° clockwise around the origin, we need to follow these steps:

1. Locate point A in the figure you provided. Point A is identified as the intersection of two line segments in the figure.

2. Identify the origin, which is the center of rotation. In this case, the origin is the point (0,0) on the coordinate plane.

3. With the origin as the center, draw a line segment from the origin to point A. This line segment represents the distance and direction in which point A will move during the rotation.

4. Rotate the line segment 90° clockwise. To do this, imagine turning the line segment clockwise around the origin until it reaches the new position.

5. Once the line segment has been rotated, identify where it intersects with the other line segments in the figure.

Based on the figure, after rotating point A 90° clockwise around the origin, it ends up on segment CD. Therefore, the correct answer is A. on segment CD.