Question

larger or smaller?
triangle pqr is a dilation of triangle pqr using center a and a scale factor of \\(\frac{3}{4}\\).
would \\(\triangle pqr\\) be larger or smaller than \\(\triangle pqr\\)?
\\(\bigcirc\\) larger
\\(\bigcirc\\) smaller

Explanation:

Step1: Recall dilation scale factor rule

A dilation with scale factor \( k \) changes the size of a figure. If \( 0 < k < 1 \), the image is smaller than the original; if \( k > 1 \), the image is larger.

Step2: Analyze the given scale factor

The scale factor here is \( \frac{3}{4} \). Since \( \frac{3}{4}=0.75 \) and \( 0 < 0.75 < 1 \), the dilation will make the triangle smaller.

Answer:

Smaller (corresponding to the option "Smaller")