Scale Factors and Similar Shapes

Practice flashcards based on the handwritten notes covering geometric enlargements, scale factors, and corresponding side length calculations.

What is the scale factor when transforming rectangle $a$ with a length of $8\,\text{cm}$ into rectangle $b$ with a length of $16\,\text{cm}$?

The scale factor is $2$ ($\times 2$), since $\frac{16}{8} = 2$.

What calculation is carried out in the bottom diagram to find the corresponding side length of shape $b$ from the $6\,\text{cm}$ side of shape $a$?

The calculation is $6 \times \frac{3}{2} = 9\,\text{cm}$ (shown as $\frac{6}{1} \times \frac{3}{2} = 9$).

What is the scale factor from shape $a$ to shape $b$ in the bottom polygon example?

The scale factor is $\frac{3}{2}$ (or $1.5$).

What scale factor value is stated at the top of the notes in both fraction and decimal form?

The scale factor is $\frac{5}{4}$ or $1.25$.