Question

choose two of these three figures. figure m scale factor: $\frac{1}{2}$ figure n scale factor: 1 figure p scale factor: $\frac{5}{2}$ for each figure you choose, draw a scaled copy using the given scale factor.

Explanation:

Step1: Understand Scaling

To draw a scaled copy, we multiply the length of each segment of the original figure by the scale factor. For a scale factor of \(1\), the figure remains the same. For \(\frac{1}{2}\), each segment length is halved. For \(\frac{5}{2}\), each segment length is multiplied by \(2.5\).

Step2: Choose Figure N (Scale Factor 1)

Since the scale factor is \(1\), the scaled copy of Figure N will be identical to Figure N. We trace the same shape, as multiplying by \(1\) doesn't change the dimensions.

Step3: Choose Figure M (Scale Factor \(\frac{1}{2}\))

1. Identify the length of each horizontal and vertical segment in Figure M.
2. Multiply each length by \(\frac{1}{2}\). For example, if a horizontal segment spans \(2\) grid units, the scaled segment will span \(2\times\frac{1}{2} = 1\) grid unit.
3. Redraw the figure with the scaled segment lengths, maintaining the same shape and proportions.

(Note: For Figure P with scale factor \(\frac{5}{2}\), we would multiply each segment length by \(2.5\) and redraw, but we chose two figures, say M and N here.)

Answer:

• For Figure N (scale factor \(1\)): Draw the same figure as Figure N (no change in dimensions).
• For Figure M (scale factor \(\frac{1}{2}\)): Redraw Figure M with each segment length halved (e.g., a \(2\)-unit segment becomes \(1\)-unit, a \(4\)-unit segment becomes \(2\)-unit, etc.), preserving the original shape’s proportions.

(If choosing other pairs like N and P, for P: multiply each segment length by \(\frac{5}{2}\) and redraw, e.g., a \(2\)-unit segment becomes \(5\)-unit, etc.)