Question

What are the coordinates if the shape is reflected over the x-axis and translated two units down

Answer 1

`\begin{gathered} R^(\prime)(3,2) \\ S^(\prime)(3,5) \\ T^(\prime)(8,5) \end{gathered}`

Step-by-step explanation

The formula for a reflection over x-axis is given by

`(x,y)\rightarrow(x,-y)`

Below are the coordinates of the given shapes if reflected over x-axis

`\begin{gathered} R(3,-4)\rightarrow R^{^(\prime)}(3,4) \\ S(3,-7)\rightarrow S^{^(\prime)}(3,7) \\ T(8,-7)\rightarrow T^{^(\prime)}(8,7) \end{gathered}`

When translated down two units, the coordinates (R', S', T') of the triangle becomes

`\begin{gathered} R^(\prime)(3,4)\rightarrow R^(\prime)(3,2) \\ S^(\prime)(3,7)\rightarrow^{}^{}S^(\prime)(3,5) \\ T^(\prime)(8,7)\rightarrow T^(\prime)(8,5) \end{gathered}`