Question

rotating the point (2,5) by 90 degrees counterclockwise around the origin results in:

a. $(-5,2)$

b. $(5,2)$

c. $(5, -2)$

d. $(-2, -5)$

Explanation:

Step1: Recall 90° CCW rotation rule

For a point \((x, y)\), rotating 90° counterclockwise around the origin transforms it to \((-y, x)\).

Step2: Apply the rule to \((2, 5)\)

Here, \(x = 2\) and \(y = 5\). Substitute into the rule: \(-y=-5\), \(x = 2\). So the new point is \((-5, 2)\).

Answer:

a. \((-5, 2)\)