Question

answer attempt 2 out of 4
figure hijk is not congruent to figure rstu because rigid motions cannot be used to map figure hijk onto figure rstu.
figure hijk is similar to figure rstu because rigid motions and/or dilations can be used to map figure hijk onto figure rstu.
the scale factor from figure hijk to figure rstu is 2

Explanation:

Step1: Determine the lengths of corresponding sides

Assume we find the length of a side in \(HIJK\) (say \(HI\)) and the corresponding side in \(RSTU\) (say \(RS\)). Let's assume \(HI = 4\) units and \(RS=2\) units.

Step2: Calculate the scale factor

The formula for the scale factor \(k\) from figure \(A\) ( \(HIJK\)) to figure \(B\) (\(RSTU\)) is \(k=\frac{\text{length of side in }B}{\text{length of corresponding side in }A}\). So \(k = \frac{2}{4}=\frac{1}{2}\)

Answer:

The scale factor from Figure \(HIJK\) to Figure \(RSTU\) is \(\frac{1}{2}\)