Question

finding the scale factor, fill in the base and height for the scaled copy that correspond to the base and height in the original triangle.

Explanation:

Step1: Find the scale factor

The scale factor is found by dividing the corresponding side - length of the scaled copy by the side - length of the original. For the given sides, if we consider the bases, the scale factor $k=\frac{4}{12}=\frac{1}{3}$.

Step2: Calculate the base of the scaled copy

The base of the original triangle is 12. Using the scale factor $k = \frac{1}{3}$, the base of the scaled copy is $12\times\frac{1}{3}=4$.

Step3: Calculate the height of the scaled copy

The height of the original triangle is 18. Using the scale factor $k=\frac{1}{3}$, the height of the scaled copy is $18\times\frac{1}{3}=6$.

Answer:

Base of scaled copy: 4
Height of scaled copy: 6