Question

1. point b at (2, 4) was rotated 90 degrees clockwise about the origin to create point b. which of the following represents point b?

options:
(-4, -2)
(4, 2)
(4, -2)
(-4, 2)

Explanation:

Step1: Recall rotation rule

For a point \((x, y)\) rotated 90 degrees clockwise about the origin, the new coordinates \((x', y')\) are given by the rule: \((x, y) \to (y, -x)\).

Step2: Apply the rule to point \(B(2, 4)\)

Here, \(x = 2\) and \(y = 4\). Using the rule, \(x' = y = 4\) and \(y' = -x = -2\). So the coordinates of \(B'\) are \((4, -2)\).

Answer:

\((4, -2)\) (corresponding to the option with \((4, -2)\))