Question

the triangle ( abc ) is a dilation of the triangle ( abc ). what is the scale factor of the dilation?
simplify your answer and write it as a proper fraction, an improper fraction, or a whole number.

Explanation:

Step1: Find coordinates of corresponding points

Let's take point \(A(6,6)\) and \(A'(8,8)\).

Step2: Calculate scale factor

The scale factor \(k\) for dilation is given by \(k=\frac{\text{coordinate of image}}{\text{coordinate of pre - image}}\). For \(x\) - coordinates (or \(y\) - coordinates since dilation is uniform), \(k = \frac{8}{6}=\frac{4}{3}\).

Answer:

\(\frac{4}{3}\)