Question

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

(image of segment ef with length 2.5)

answer attempt 1 out of 2

Explanation:

Step1: Recall dilation of segments

When a segment is dilated by a scale factor \( k \), the length of the new segment is the original length multiplied by \( k \). Here, original length \( EF = 2.5 \), scale factor \( k = 4 \).

Step2: Calculate \( E'F' \) length

Multiply original length by scale factor: \( E'F' = EF \times 4 = 2.5 \times 4 \)
\( 2.5 \times 4 = 10 \)

Answer:

10