Question

topic 4: similar figures & indirect measure
use the similar figures below for questions 26 - 27.

1. give the scale factor of figure a to figure b.
2. give the scale factor of figure b to figure a.

© gina wilson (all things algebra®, llc),

Explanation:

Step1: Recall the formula for scale factor

The scale factor from Figure \(A\) to Figure \(B\) is \(\frac{\text{corresponding side length in }B}{\text{corresponding side length in }A}\). For Figure \(A\) to Figure \(B\), using the sides \(36\) (from \(A\)) and \(18\) (from \(B\)) (or \(32\) and \(27\) - but \(36\) and \(18\) are simpler).

Step2: Calculate scale factor \(A\) to \(B\)

\(\text{Scale factor }A
ightarrow B=\frac{18}{36}=\frac{1}{2}\)

Step3: Calculate scale factor \(B\) to \(A\)

The scale factor from Figure \(B\) to Figure \(A\) is \(\frac{\text{corresponding side length in }A}{\text{corresponding side length in }B}\). Using the sides \(18\) (from \(B\)) and \(36\) (from \(A\))
\(\text{Scale factor }B
ightarrow A=\frac{36}{18} = 2\)

Answer:

1. \(\frac{1}{2}\)
2. \(2\)