Question

the segment below is dilated by a scale factor of 4 to form \\(\overline{ij}\\). what is the measure of \\(\overline{ij}\\)?

Explanation:

Step1: Recall dilation formula

When a segment is dilated by a scale factor \( k \), the length of the dilated segment is the original length multiplied by \( k \). Here, original length \( IJ = 21 \), scale factor \( k = 4 \).

Step2: Calculate \( I'J' \)

\( I'J' = IJ\times4 = 21\times4 = 84 \)

Answer:

84