Question

draw a scaled copy of the polygon with scale factor 3. here is a polygon. homework for october 14, 2025

Explanation:

Step1: Identify original polygon vertices

Count the grid - squares to find the coordinates of the vertices of the original polygon. Let's assume the vertices of the original polygon are $(x_1,y_1),(x_2,y_2),(x_3,y_3),(x_4,y_4)$.

Step2: Apply scale - factor

To get the vertices of the scaled polygon with a scale factor of 3, multiply the $x$ and $y$ coordinates of each vertex of the original polygon by 3. So the new vertices will be $(3x_1,3y_1),(3x_2,3y_2),(3x_3,3y_3),(3x_4,3y_4)$.

Step3: Plot new vertices

On the grid, find the positions corresponding to the new vertices $(3x_1,3y_1),(3x_2,3y_2),(3x_3,3y_3),(3x_4,3y_4)$ and connect them in the same order as the original polygon to draw the scaled - up polygon.

Since this is a drawing task and cannot be directly output in text, the steps above describe how to draw the scaled copy of the polygon with a scale factor of 3 on the given grid. You need to perform the actual drawing on the provided grid paper following the steps.

Answer:

Step1: Identify original polygon vertices

Count the grid - squares to find the coordinates of the vertices of the original polygon. Let's assume the vertices of the original polygon are $(x_1,y_1),(x_2,y_2),(x_3,y_3),(x_4,y_4)$.

Step2: Apply scale - factor

To get the vertices of the scaled polygon with a scale factor of 3, multiply the $x$ and $y$ coordinates of each vertex of the original polygon by 3. So the new vertices will be $(3x_1,3y_1),(3x_2,3y_2),(3x_3,3y_3),(3x_4,3y_4)$.

Step3: Plot new vertices

On the grid, find the positions corresponding to the new vertices $(3x_1,3y_1),(3x_2,3y_2),(3x_3,3y_3),(3x_4,3y_4)$ and connect them in the same order as the original polygon to draw the scaled - up polygon.

Since this is a drawing task and cannot be directly output in text, the steps above describe how to draw the scaled copy of the polygon with a scale factor of 3 on the given grid. You need to perform the actual drawing on the provided grid paper following the steps.