Question

problem 3a
these two triangles are scaled copies of each other.
what is the scale factor?

Explanation:

Step1: Identify corresponding sides

Let's assume the side - length of the smaller triangle is $a = 4$ and the side - length of the larger triangle is $b = 10$.

Step2: Calculate scale factor

The scale factor $k$ from the smaller triangle to the larger triangle is given by the ratio of the corresponding side - lengths of the larger triangle to the smaller triangle. So, $k=\frac{b}{a}$.
Substitute $a = 4$ and $b = 10$ into the formula: $k=\frac{10}{4}=\frac{5}{2}=2.5$.

Answer:

$2.5$