Question

triangle qrs is to be dilated using the rule ( d_{p,\frac{1}{4}} ). what will be the distance from the center of dilation, p, to the image ( s )? 2 units 4 units 6 units 8 units

Explanation:

Step1: Recall the dilation formula

The distance from the center of dilation \(P\) to a point \(S'\) after dilation with scale factor \(k\) is \(d(P,S')=k\times d(P,S)\). Here, \(k = \frac{1}{4}\) and \(d(P,S)=8\) units.

Step2: Calculate the new distance

Substitute the values into the formula: \(d(P,S')=\frac{1}{4}\times8\).

$$ \frac{1}{4}\times8 = 2 $$

Answer:

2 units