Question

dilate △abc by a scale factor of \\(\frac{1}{2}\\) with the center of dilation at point c.
ac = 4 units
what is the length of bc, the image of segment bc?
bc = \\(\square\\) units
an error has occurred. please enter a number
\\(bc = \frac{1}{2} \cdot bc\\)

Explanation:

Step1: Find the length of \(BC\)

From the graph, \(BC = 6\) units.

Step2: Calculate \(B'C\)

Since the scale factor is \(\frac{1}{2}\), use the formula \(B'C=\frac{1}{2}\times BC\).
Substitute \(BC = 6\) into the formula: \(B'C=\frac{1}{2}\times6\).

$$B'C = 3$$

Answer:

\(B'C = 3\) units