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 assume a point \(B(3,0)\) and \(B'(4,0)\).

Step2: Calculate the scale factor

The scale factor \(k\) of a dilation is given by the formula \(k=\frac{\text{coordinate of image}}{\text{coordinate of pre - image}}\). For \(x\) - coordinates (since the dilation is uniform in a plane for a figure), if we consider the \(x\) - coordinate of \(B\) as \(x = 3\) (pre - image) and \(x'=4\) (image), then \(k=\frac{4}{3}\).

Answer:

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