Question

reflect the figure over the line $y = 3$.
plot all of the points of the reflected figure.
you may click a plotted point to delete it.

Explanation:

Step1: Find the reflection rule

When reflecting a point \((x,y)\) over the line \(y = k\), the formula is \((x,2k - y)\). Here \(k = 3\), so the rule is \((x,6 - y)\).

Step2: Apply the rule to each point

• Let's assume the original points are \((1,6)\), \((2,4)\), \((8,4)\), \((9,9)\)
• For point \((1,6)\): \(x = 1\), \(y=6\). Using the formula \((x,6 - y)\), we get \((1,6-6)=(1,0)\)
• For point \((2,4)\): \(x = 2\), \(y = 4\). Using the formula \((x,6 - y)\), we get \((2,6 - 4)=(2,2)\)
• For point \((8,4)\): \(x = 8\), \(y = 4\). Using the formula \((x,6 - y)\), we get \((8,6 - 4)=(8,2)\)
• For point \((9,9)\): \(x = 9\), \(y = 9\). Using the formula \((x,6 - y)\), we get \((9,6 - 9)=(9,- 3)\)

Answer:

The reflected points are \((1,0)\), \((2,2)\), \((8,2)\), \((9,-3)\)