Similar Shapes 2 summary

Key learning points

• Corresponding angles equal; corresponding sides in the same ratio.
• Area factor $=(\text{length factor})^2$; volume factor cubed.
• Find missing sides with matching vertices carefully labelled.

Worked example 1 — Area scale factor

Length SF $k=3$. Area SF?

Working

Square $k$.

Worked example 2 — Volume scale factor

Length SF $k=2$. Volume SF?

Working

Cube $k$.

Worked example 3 — Length from areas

Areas ratio $16:9$. Length SF?

Working

Square-root of area SF.

Scaffolded Learning Sheet and answers (PDFs)

This page is a short, searchable overview for revision and search engines. Use the Scaffolded Learning Sheet first, then the Answers PDF for a full written solution. The printable PDFs remain the main classroom resource.