Question

dianne drew a triangle with coordinates (1, 3), (3, 2), and (4, 2). she drew an image of the triangle with coordinates (-1, 3), (-3, 2), and (-4, 2). which rule describes the transformation? a. (x, y)→(-x, y) b. (x, y)→(x, -y) c. (x, y)→(x - 2, y) d. (x, y)→(x, y - 2)

Explanation:

Step1: Analyze coordinate changes

Original points are \((1,3)\), \((3,2)\), \((4,2)\) and new points are \((-1,3)\), \((-3,2)\), \((-4,2)\). The \(y\) - coordinates remain the same and the \(x\) - coordinates change sign.

Step2: Match with transformation rule

The rule \((x,y)\to(-x,y)\) changes the sign of the \(x\) - coordinate while keeping the \(y\) - coordinate the same.

Answer:

A. \((x,y)\to(-x,y)\)