Question

10 the diagram shows △abc and its image △abc after a dilation with a scale factor 3 on a coordinate plane. the center of this dilation is point enter a number like 5 or -5 for the value of each coordinate.

Explanation:

Step1: Recall dilation property

In a dilation, if the scale - factor is \(k = 1\), the pre - image and the image are congruent and the center of dilation is any point that maps to itself. Since all points of \(\triangle ABC\) and \(\triangle A'B'C'\) are in the same position (because scale factor \(k = 1\)), we can choose any point. Let's choose the origin \((0,0)\) as a common point for simplicity.

Answer:

0, 0