Question

graph the image of kite tuvw 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: Identify vertices of kite

Let's assume the coordinates of the vertices of kite $TUVW$ are $T(x_T,y_T)$, $U(x_U,y_U)$, $V(x_V,y_V)$, $W(x_W,y_W)$.

Step3: Find new coordinates

The new coordinates after reflection over the $x - axis$ will be $T'(x_T,-y_T)$, $U'(x_U,-y_U)$, $V'(x_V,-y_V)$, $W'(x_W,-y_W)$.

Step4: Plot new points

Plot the points $T'$, $U'$, $V'$, $W'$ on the same coordinate - grid and connect them in the same order as the original kite to get the reflected kite.

Since the original coordinates are not given numerically, we can't provide specific numerical answers for the new coordinates. But the general process for graphing the reflected kite is as described above.

Answer:

Step1: Recall reflection rule

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

Step2: Identify vertices of kite

Let's assume the coordinates of the vertices of kite $TUVW$ are $T(x_T,y_T)$, $U(x_U,y_U)$, $V(x_V,y_V)$, $W(x_W,y_W)$.

Step3: Find new coordinates

The new coordinates after reflection over the $x - axis$ will be $T'(x_T,-y_T)$, $U'(x_U,-y_U)$, $V'(x_V,-y_V)$, $W'(x_W,-y_W)$.

Step4: Plot new points

Plot the points $T'$, $U'$, $V'$, $W'$ on the same coordinate - grid and connect them in the same order as the original kite to get the reflected kite.

Since the original coordinates are not given numerically, we can't provide specific numerical answers for the new coordinates. But the general process for graphing the reflected kite is as described above.