Question

$\overline{ij}$ is dilated by a scale factor of $\frac{3}{4}$ to form $\overline{ij}$. $\overline{ij}$ measures 40. what is the measure of $\overline{ij}$? answer attempt 1 out of 2

Explanation:

Step1: Recall dilation formula

To find the length of a dilated segment, we multiply the original length by the scale factor. The formula is \( \text{Length of dilated segment} = \text{Original length} \times \text{Scale factor} \).

Step2: Substitute values

The original length \( IJ = 40 \) and the scale factor is \( \frac{3}{4} \). So we calculate \( 40\times\frac{3}{4} \).

Step3: Perform the multiplication

\( 40\times\frac{3}{4}=\frac{40\times3}{4}=\frac{120}{4} = 30 \).

Answer:

30