Question

1. a polygon with points (-3,3), (-3,0), (3,0) and (6,3) reflects across the y - axis. which is a point on the transformed polygon? (-6,3) (0,-3) (3,-3) (0,3)

Explanation:

Step1: Recall the reflection rule across the y - axis

When a point \((x,y)\) is reflected across the \(y\) - axis, the transformation rule is \((x,y)\to(-x,y)\).

Step2: Apply the rule to each point

• For the point \((- 3,3)\): Using the rule \((x,y)\to(-x,y)\), we get \((-(-3),3)=(3,3)\).
• For the point \((-3,0)\): Using the rule \((x,y)\to(-x,y)\), we get \((-(-3),0)=(3,0)\).
• For the point \((3,0)\): Using the rule \((x,y)\to(-x,y)\), we get \((-3,0)\).
• For the point \((6,3)\): Using the rule \((x,y)\to(-x,y)\), we get \((-6,3)\).

Answer:

\((-6,3)\)