Question

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

Answer 1

Answer

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

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

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