Question

reflect the figure over the line $x = 2$.
plot all of the points of the reflected figure.
you may click a plotted point to delete it.

Explanation:

Step1: Find the distance of each point from the line \(x = 2\)

Let's assume the points of the original triangle are \(A(3,1)\), \(B(5,6)\), \(C(6,2)\)
For a point \((x,y)\) reflected over the line \(x = a\), the formula for the \(x\)-coordinate of the reflected point is \(x'=2a - x\), and the \(y\)-coordinate remains the same (\(y'=y\))

Step2: Calculate the reflected points

• For point \(A(3,1)\):

Using the formula \(x'=2\times2 - 3=1\), \(y' = 1\). So the reflected point \(A'(1,1)\)

• For point \(B(5,6)\):

Using the formula \(x'=2\times2 - 5=-1\), \(y' = 6\). So the reflected point \(B'(-1,6)\)

• For point \(C(6,2)\):

Using the formula \(x'=2\times2 - 6=-2\), \(y' = 2\). So the reflected point \(C'(-2,2)\)

Answer:

Plot the points \((1,1)\), \((-1,6)\) and \((-2,2)\)