Question

graph the image of △tuv after a reflection over the x - axis.

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ over the $x -$axis is $(x,-y)$.

Step2: Find new coordinates of vertices

Let's assume the coordinates of points $T$, $U$, and $V$ are $(x_T,y_T)$, $(x_U,y_U)$, and $(x_V,y_V)$ respectively. After reflection over the $x -$axis, the new coordinates will be $T'(x_T,-y_T)$, $U'(x_U,-y_U)$, $V'(x_V,-y_V)$.

Step3: Plot new triangle

Plot the points $T'$, $U'$, and $V'$ on the coordinate - plane and connect them to form $\triangle T'U'V'$.

Answer:

Graph the new triangle $\triangle T'U'V'$ with vertices obtained by applying the $(x,-y)$ rule to the vertices of $\triangle TUV$.