Question

triangle qrs is to be dilated using the rule ( d_{p, \frac{3}{4}} ). what will be the distance from the center of dilation, p, to the image s?
(circ) 2 units
(circ) 4 units
(circ) 6 units
(circ) 8 units

Explanation:

Step1: Identify the distance from P to S

From the diagram, the distance from center of dilation \( P \) to \( S \) is \( 8 \) units.

Step2: Apply the dilation scale factor

The dilation rule is \( D_{P,\frac{3}{4}} \), which means we multiply the distance from \( P \) to \( S \) by the scale factor \( \frac{3}{4} \).
So, the distance from \( P \) to \( S' \) is \( 8\times\frac{3}{4} \).
Calculating \( 8\times\frac{3}{4} = \frac{8\times3}{4} = \frac{24}{4} = 6 \).

Answer:

6 units