Question

dilate figure pqrs by a scale factor of \frac{1}{2} with the center of dilation at point p. pq = 4 units what is the length of sp, the image of segment sp? sp = units

Explanation:

Step1: Find the length of \( SP \)

From the graph, \( SP = 4 \) units.

Step2: Apply the dilation formula

The formula for dilation is \( \text{Length of image segment}=\text{Scale factor}\times\text{Length of original segment}\).
Given scale factor \( k=\frac{1}{2} \), and original length \( SP = 4 \) units.
So \( S'P=k\times SP=\frac{1}{2}\times4\).

Answer:

\( 2 \)