Question

graph the image of rectangle stuv 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 rectangle vertices

Let's assume the vertices of rectangle $STUV$ have coordinates $S(x_1,y_1)$, $T(x_2,y_2)$, $U(x_3,y_3)$, $V(x_4,y_4)$.

Step3: Apply reflection rule

The new vertices after reflection over the $x - axis$ will be $S'(x_1,-y_1)$, $T'(x_2,-y_2)$, $U'(x_3,-y_3)$, $V'(x_4,-y_4)$.

Step4: Plot new rectangle

Plot the points $S'$, $T'$, $U'$, $V'$ on the coordinate - grid and connect them to form the reflected rectangle.

Answer:

Graph the new rectangle with vertices obtained by applying the $(x,-y)$ transformation to the original rectangle's vertices.