Question

write a rule for the reflection. (x,y)→(□,□)

Explanation:

Step1: Find coordinates of original and reflected points

Original points: \(A(2,0)\), \(B(2,3)\), \(C(6,0)\).
Reflected points: \(A'(2,0)\), \(B'(2, - 3)\), \(C'(6,0)\).

Step2: Analyze the change in \(y\) - coordinate

For point \(B(2,3)\) and \(B'(2,-3)\), \(x\) - coordinate remains the same (\(x = 2\)), and \(y\) - coordinate changes from \(y\) to \(-y\) (\(3\) to \(-3\)).

Answer:

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