Question

draw the following quadrilateral after a translation 3 units to the right and 4 units up.

Explanation:

Step1: Recall translation rule

For a point $(x,y)$ translated 3 units to the right and 4 units up, the new - point is $(x + 3,y + 4)$.

Step2: Identify vertices of the quadrilateral

Let the vertices of the original quadrilateral be $(x_1,y_1),(x_2,y_2),(x_3,y_3),(x_4,y_4)$.

Step3: Apply the translation rule to each vertex

The new vertices will be $(x_1+3,y_1 + 4),(x_2+3,y_2 + 4),(x_3+3,y_3 + 4),(x_4+3,y_4 + 4)$.

Step4: Plot the new quadrilateral

Use the new - found vertices to draw the translated quadrilateral on the coordinate plane.

Since this is a drawing problem and we can't actually draw in this text - based format, the steps above describe how to perform the translation. If you were to do it on paper or a graphing tool:

1. Locate each vertex of the original quadrilateral on the coordinate grid.
2. Move each vertex 3 units to the right (increase the x - coordinate by 3) and 4 units up (increase the y - coordinate by 4).
3. Connect the new vertices in the same order as the original quadrilateral to form the translated quadrilateral.

Answer:

Follow the steps above to draw the translated quadrilateral.