Question

what is the scale factor from the original figure to the scaled copy? original 12 10 scaled copy 36?

Explanation:

Step1: Determine the scale factor formula

The scale factor \(k\) from the original figure to the scaled copy for similar figures (here triangles are similar as they are scaled versions) is given by \(k=\frac{\text{corresponding dimension of scaled copy}}{\text{corresponding dimension of original}}\).

Step2: Identify the corresponding dimensions

The height of the original triangle is \(h_{1} = 12\), and the height of the scaled - copy triangle is \(h_{2}=36\).

Step3: Calculate the scale factor

Using the formula \(k=\frac{h_{2}}{h_{1}}\), substitute \(h_{1} = 12\) and \(h_{2}=36\). So \(k=\frac{36}{12}\).

$$k = 3$$

Answer:

\(3\)