Question

The line segment shown is rotated 90° clockwise about the origin. What are the new coordinates of point B?

Answer 1

To find the new coordinates of point B after a 90° clockwise rotation around the origin, you apply the rotation rule: (x, y) becomes (y, -x). The original coordinates are needed to calculate the exact new position of point B.

Step-by-step explanation:

The student is asking about the result of a 90° clockwise rotation of a point around the origin in the Cartesian coordinate system. To find the new coordinates of point B after the rotation, we use the rule for 90° clockwise rotation, which is (x, y) becomes (y, -x). If the original coordinates of point B are (x₂, y₂), the new coordinates after the rotation will be (y₂, -x₂).

Without knowing the original coordinates of point B, we cannot give the exact new coordinates. However, if the student provides the initial coordinates, the new coordinates can be calculated using the rotation rule mentioned.

Answer 2

(3, - 4)

Imagine a rectangle with one corner on the origin and the opposite on the point. Rotate the rectangle about the origin and see where the point lands.