Question

draw the following triangle after a translation 3 units to the left and 3 units up.

Explanation:

Step1: Recall translation rule

For a point $(x,y)$ in the coordinate - plane, a translation 3 units to the left and 3 units up changes the coordinates to $(x - 3,y + 3)$.

Step2: Identify vertices of original triangle

Let's assume the vertices of the original triangle are $(x_1,y_1),(x_2,y_2),(x_3,y_3)$.

Step3: Apply translation rule to each vertex

The new vertices will be $(x_1-3,y_1 + 3),(x_2-3,y_2 + 3),(x_3-3,y_3 + 3)$.

Step4: Plot new triangle

Plot the new vertices on the coordinate - plane and connect them to form the translated triangle.

Since we don't have the exact coordinates of the original triangle's vertices given in text form, the general process for drawing the translated triangle is as above. If we had the specific coordinates (e.g., if the vertices were $(1,1),(2,3),(4,2)$), for the vertex $(1,1)$ the new vertex after translation would be $(1-3,1 + 3)=(-2,4)$, for $(2,3)$ it would be $(2-3,3 + 3)=(-1,6)$ and for $(4,2)$ it would be $(4-3,2 + 3)=(1,5)$. Then we would plot these new points and connect them to form the triangle.

Answer:

Follow the steps above to draw the translated triangle on the given coordinate - grid.