Question

△abc has vertices a(2,1), b(2,5), and c(4,2).

1. rotate △abc 90° clockwise about the origin. name the coordinates of the image of point c after each transformation.

Explanation:

Step1: Recall the rotation rule

When rotating a point \((x,y)\) \(90^{\circ}\) 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 \(C(4,2)\)

For point \(C\) with \(x = 4\) and \(y=2\), using the formula \((x,y)\to(y, - x)\), we substitute \(x = 4\) and \(y = 2\) into the formula.
We get \(x'=2\) and \(y'=- 4\).

Answer:

\((2,-4)\)