Question

youre designing the transformation logic for a grid - based video game level. a triangle starts in its original position - triangle abc - and will move in three different ways.your job is to apply each transformation, describe the results mathematically, and explain how you know your answers are correct. no images are given - you must visualize or sketch them yourself to complete the analysis.question 33 pointswhat is the coordinate rule for a 180° rotation about the origin?enter your response here

Explanation:

Step1: Recall rotation concept

A \(180^{\circ}\) rotation about the origin changes the sign of both \(x\) and \(y\) coordinates.

Step2: Formulate the rule

If a point has coordinates \((x,y)\), after a \(180^{\circ}\) rotation about the origin, its new coordinates \((x',y')\) are given by \(x'=-x\) and \(y'=-y\). So the coordinate rule is \((x,y)\to(-x,-y)\).

Answer:

The coordinate rule for a \(180^{\circ}\) rotation about the origin is \((x,y)\to(-x,-y)\)