Question

draw the following quadrilateral after a translation 2 units to the left and 1 unit down.

Explanation:

Step1: Recall translation rule

For a point $(x,y)$ translated 2 units to the left and 1 unit down, the new - point is $(x - 2,y - 1)$.

Step2: Identify vertices of original quadrilateral

Let's assume the vertices of the original quadrilateral are $(x_1,y_1),(x_2,y_2),(x_3,y_3),(x_4,y_4)$.

Step3: Apply translation rule to each vertex

The new vertices will be $(x_1 - 2,y_1 - 1),(x_2 - 2,y_2 - 1),(x_3 - 2,y_3 - 1),(x_4 - 2,y_4 - 1)$.

Step4: Plot new quadrilateral

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

Since we don't have the specific coordinates of the original quadrilateral vertices, the general steps for the translation are as above. To actually draw it, you would first identify the coordinates of the vertices of the given quadrilateral on the graph, then subtract 2 from each x - coordinate and 1 from each y - coordinate, and then plot the new points and connect them.

Answer:

Step1: Recall translation rule

For a point $(x,y)$ translated 2 units to the left and 1 unit down, the new - point is $(x - 2,y - 1)$.

Step2: Identify vertices of original quadrilateral

Let's assume the vertices of the original quadrilateral are $(x_1,y_1),(x_2,y_2),(x_3,y_3),(x_4,y_4)$.

Step3: Apply translation rule to each vertex

The new vertices will be $(x_1 - 2,y_1 - 1),(x_2 - 2,y_2 - 1),(x_3 - 2,y_3 - 1),(x_4 - 2,y_4 - 1)$.

Step4: Plot new quadrilateral

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

Since we don't have the specific coordinates of the original quadrilateral vertices, the general steps for the translation are as above. To actually draw it, you would first identify the coordinates of the vertices of the given quadrilateral on the graph, then subtract 2 from each x - coordinate and 1 from each y - coordinate, and then plot the new points and connect them.