Reflection Math Example 4

Solution

1. 1
   Step 1: The line $y = 2$ is a horizontal mirror. To reflect over $y = c$, the rule is $(x, y) \to (x, 2c - y)$.
2. 2
   Step 2: With $c = 2$: $(x, y) \to (x, 4 - y)$.
3. 3
   Step 3: $R(4, 1) \to (4,\ 4-1) = (4, 3)$.
4. 4
   Step 4: Verify: midpoint of $(4,1)$ and $(4,3)$ is $(4, 2)$ which lies on $y=2$. ✓