Question

graph the image of △qrs 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 $\triangle QRS$

Let's assume the coordinates of $Q$, $R$, and $S$ are $(x_Q,y_Q)$, $(x_R,y_R)$, $(x_S,y_S)$ respectively.

Step3: Apply reflection rule to each vertex

For point $Q$: new - coordinate is $(x_Q,-y_Q)$. For point $R$: new - coordinate is $(x_R,-y_R)$. For point $S$: new - coordinate is $(x_S,-y_S)$.

Step4: Plot new triangle

Plot the new points $(x_Q,-y_Q)$, $(x_R,-y_R)$, $(x_S,-y_S)$ and connect them to form the reflected $\triangle QRS$.

Since we don't have the actual coordinates of $Q$, $R$, and $S$ given explicitly in the image text, the general steps to graph the reflected triangle are as above. If we had the coordinates (for example, if $Q=(0, - 4)$, $R=(0,-3)$, $S=(10,-3)$), for $Q$ the reflected point would be $(0,4)$, for $R$ it would be $(0,3)$ and for $S$ it would be $(10,3)$ and then we would plot these new points and connect them to form the new triangle.

Answer:

Step1: Recall reflection rule

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

Step2: Identify vertices of $\triangle QRS$

Let's assume the coordinates of $Q$, $R$, and $S$ are $(x_Q,y_Q)$, $(x_R,y_R)$, $(x_S,y_S)$ respectively.

Step3: Apply reflection rule to each vertex

For point $Q$: new - coordinate is $(x_Q,-y_Q)$. For point $R$: new - coordinate is $(x_R,-y_R)$. For point $S$: new - coordinate is $(x_S,-y_S)$.

Step4: Plot new triangle

Plot the new points $(x_Q,-y_Q)$, $(x_R,-y_R)$, $(x_S,-y_S)$ and connect them to form the reflected $\triangle QRS$.

Since we don't have the actual coordinates of $Q$, $R$, and $S$ given explicitly in the image text, the general steps to graph the reflected triangle are as above. If we had the coordinates (for example, if $Q=(0, - 4)$, $R=(0,-3)$, $S=(10,-3)$), for $Q$ the reflected point would be $(0,4)$, for $R$ it would be $(0,3)$ and for $S$ it would be $(10,3)$ and then we would plot these new points and connect them to form the new triangle.