Question

the scaled copy of a figure is drawn with a scale factor of $\frac{3}{2}$. explain how you would draw the original figure. you can start your response with: • to draw the original figure, i would... • i can use the given scale factor by... a scaled copy of a figure is drawn with a given scale factor. press the record button under \start audio recording.\ say your answer. press the pause button and save your recording. listen to your recording. if you need to make changes, delete it, and record your response again. upload audio audio url record audio

Explanation:

Step1: Understand Scale Factor Relationship

The scale factor for the copy is $\frac{3}{2}$, meaning Copy = Original $\times \frac{3}{2}$. To find Original, we rearrange: Original = Copy $\div \frac{3}{2}$ = Copy $\times \frac{2}{3}$.

Step2: Analyze the Copy's Dimensions (from Grid)

Looking at the grid, the copy (the rectangle) has a width of 3 units and a height of 6 units (counting grid squares).

Step3: Calculate Original Dimensions

For width: $3 \times \frac{2}{3} = 2$ units. For height: $6 \times \frac{2}{3} = 4$ units.

Step4: Draw the Original Figure

Using the calculated dimensions (width 2, height 4), draw a rectangle on the "Original" grid area with these measurements, maintaining the same shape (proportions) as the copy.

Answer:

To draw the original figure, I would first determine the dimensions of the scaled copy (from the grid: width 3, height 6). Since the scale factor from original to copy is $\frac{3}{2}$, the original dimensions are the copy’s dimensions multiplied by $\frac{2}{3}$. So, original width = $3 \times \frac{2}{3} = 2$ and original height = $6 \times \frac{2}{3} = 4$. Then, I would draw a rectangle with width 2 units and height 4 units in the "Original" grid area, preserving the shape’s proportions.