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4. here is a polygon. draw a scaled copy of the polygon using a scale f…

Question

  1. here is a polygon. draw a scaled copy of the polygon using a scale factor of $\frac{1}{2}$.

Explanation:

Step1: Determine the original side lengths

Count the number of grid - squares for each side of the polygon.

Step2: Calculate the new side lengths

Multiply each original side length by the scale factor $\frac{1}{2}$. For example, if an original side length is \(n\) grid - squares, the new side length is $\frac{n}{2}$ grid - squares.

Step3: Draw the scaled - copy

Using the calculated new side lengths, draw the polygon on the grid.

Since this is a drawing task, the key is to apply the scale factor $\frac{1}{2}$ to each side of the original polygon. For each vertex of the original polygon, find its new position on the grid by halving the horizontal and vertical distances from a reference point (e.g., the left - most and bottom - most vertex) if we consider the grid - based position.

Answer:

Draw the polygon with each side length half of the original polygon's side lengths on the grid.