Scale, Models & Similar FiguresATI TEAS 7 cheat sheet

Set up the proportion

7 key facts 1 practice questions Reviewed Oct 2026

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Scale

A scale such as 1 in : 20 ft is a ratio
Set up model/actual = model/actual and cross-multiply

Similar Figures

Same shape, different size
Corresponding sides are proportional; angles are equal

Area & Volume

If sides scale by k, area scales by k² and volume by k³
Double the sides → 4× the area, 8× the volume

Units

Keep both sides of the proportion in the same unit

Key takeaway

Set up the proportion

Before you read

Test yourself first: 1 question

Question 1 of 1

If a map scale is 1 cm = 20 km, how many km is 4.5 cm?

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