Question

graph the image of trapezoid qrst after a reflection over the line y = -x.

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ over the line $y = -x$ is $(x,y)\to(-y,-x)$.

Step2: Assume coordinates

Let's assume the coordinates of the vertices of trapezoid $QRST$ are $Q(x_1,y_1)$, $R(x_2,y_2)$, $S(x_3,y_3)$ and $T(x_4,y_4)$.

Step3: Apply reflection rule

The new - coordinates after reflection will be $Q'( - y_1,-x_1)$, $R'( - y_2,-x_2)$, $S'( - y_3,-x_3)$ and $T'( - y_4,-x_4)$.

Step4: Plot new points

Plot the points $Q'$, $R'$, $S'$ and $T'$ on the same coordinate - plane to get the image of trapezoid $QRST$ after reflection over the line $y=-x$.

Answer:

Graph the trapezoid formed by the points obtained by applying the reflection rule $(x,y)\to(-y,-x)$ to the vertices of trapezoid $QRST$.