Question

graph the image of △pqr after a reflection over the y - axis.

Explanation:

Step1: Recall reflection rule

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

Step2: Find new coordinates of point $P$

Suppose $P$ has coordinates $(x_1,y_1)$. After reflection over the $y$-axis, its new coordinates $P'$ are $(-x_1,y_1)$.

Step3: Find new coordinates of point $Q$

Suppose $Q$ has coordinates $(x_2,y_2)$. After reflection over the $y$-axis, its new coordinates $Q'$ are $(-x_2,y_2)$.

Step4: Find new coordinates of point $R$

Suppose $R$ has coordinates $(x_3,y_3)$. After reflection over the $y$-axis, its new coordinates $R'$ are $(-x_3,y_3)$.

Step5: Plot new triangle

Plot the points $P'$, $Q'$, and $R'$ and connect them to form the reflected $\triangle P'Q'R'$.

Answer:

Graph the new triangle $\triangle P'Q'R'$ with vertices obtained by applying the reflection - over - y - axis rule to the vertices of $\triangle PQR$.