Question

Write the coordinates of the vertices after a reflection over the x-axis.-10-8-6-4-2246810-10-8-6-4-2246810xyDEFG

Answer 1

Given the graphed polygon below:

To determine the coordinates of the vertices after reflection over the x-axis,

step 1: Give the coordinates of DEFG.

Thus, we have

`\begin{gathered} D(0,\text{ -10\rparen} \\ E(0,\text{ 0\rparen} \\ F(10,\text{ 0\rparen} \\ G(10,\text{ -10\rparen} \end{gathered}`

step 2: Give the reflection formula, over the x-axis.

For reflection over the x-axis, we have

`D(x,\text{ y\rparen}\rightarrow D^(\prime)(x,\text{ -y\rparen}`

step 3: Give the coordinates after reflection over the x-axis.

From the formula in step 2,

we thus have

`\begin{gathered} D^(\prime)(0,\text{ 10\rparen} \\ E^(\prime)(0,0) \\ F^(\prime)(10,\text{ 0\rparen} \\ G^(\prime)(10,\text{ 10\rparen} \end{gathered}`