Question

1. create a scaled copy of the figure using a scale factor of \\(\frac{1}{2}\\). (3 pts)

Explanation:

Step1: Analyze the original figure's dimensions

First, we need to determine the dimensions (lengths of sides) of the original figure by counting the number of grid squares each segment occupies. Let's assume the original figure has horizontal and vertical segments. For example, if a vertical segment is 6 grid units long and a horizontal segment is 2 grid units long (we need to carefully count the squares for the actual figure, but the process is as follows).

Step2: Apply the scale factor

To create a scaled copy with a scale factor of $\frac{1}{2}$, we multiply each dimension (length of each side) by $\frac{1}{2}$. So, if a side was $n$ grid units long in the original, the scaled side will be $n\times\frac{1}{2}$ grid units long.

Step3: Draw the scaled figure

Using the scaled dimensions, we draw the new figure on the grid. For example, if a vertical side was 6 units, it becomes $6\times\frac{1}{2} = 3$ units, and a horizontal side of 2 units becomes $2\times\frac{1}{2}=1$ unit. We replicate the shape of the original figure with these new, scaled side lengths.

(Note: Since this is a drawing task, the key is to reduce each linear measurement of the original figure by half. The actual drawing would involve counting the squares of the original figure's sides, halving those counts, and then constructing the new figure with the halved side lengths while maintaining the same shape.)

Answer:

To create the scaled copy, follow these steps:

1. Identify Original Dimensions: Count the number of grid squares each side of the original figure occupies (e.g., vertical segments, horizontal segments).
2. Scale Each Dimension: Multiply each side length by $\boldsymbol{\frac{1}{2}}$ (e.g., a 4 - unit side becomes $4\times\frac{1}{2}=2$ units, a 2 - unit side becomes $2\times\frac{1}{2}=1$ unit).
3. Draw the Scaled Figure: Using the scaled side lengths, replicate the shape of the original figure on the grid. The scaled figure will be similar in shape but half the size (in linear dimensions) of the original.

(Note: The exact drawing depends on the original figure’s grid - based dimensions, but the process involves halving all linear measurements.)