Question

draw the reflection of the triangle across the y - axis.

Explanation:

Step1: Recall reflection rule

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

Step2: Identify triangle vertices

Suppose the vertices of the original triangle are $(x_1,y_1)$, $(x_2,y_2)$, $(x_3,y_3)$.

Step3: Apply reflection rule

The reflected vertices will be $(-x_1,y_1)$, $(-x_2,y_2)$, $(-x_3,y_3)$.

Step4: Plot new triangle

Plot the new triangle with the reflected vertices on the coordinate - grid.

Since this is a drawing problem and we can't actually draw in this text - based format, the steps above describe how to find the reflected triangle. To actually complete the task, one would take a ruler and pencil, find the new vertices as described above, and then connect them to form the reflected triangle on the given grid.

Answer:

Step1: Recall reflection rule

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

Step2: Identify triangle vertices

Suppose the vertices of the original triangle are $(x_1,y_1)$, $(x_2,y_2)$, $(x_3,y_3)$.

Step3: Apply reflection rule

The reflected vertices will be $(-x_1,y_1)$, $(-x_2,y_2)$, $(-x_3,y_3)$.

Step4: Plot new triangle

Plot the new triangle with the reflected vertices on the coordinate - grid.

Since this is a drawing problem and we can't actually draw in this text - based format, the steps above describe how to find the reflected triangle. To actually complete the task, one would take a ruler and pencil, find the new vertices as described above, and then connect them to form the reflected triangle on the given grid.