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SSS similarity criterion

Two triangles are similar if all three corresponding sides are proportional.

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Main explanation

Teacher explanation

When every matching side ratio is the same, the triangle keeps the same shape and only the size changes. This is why three proportional sides are enough.

Example

Sides 7 cm, 9 cm, 12 cm and 14 cm, 18 cm, 24 cm are proportional in the ratio 1:2, so the triangles are similar.

Simple analogy

Three sides, one ratio.

Common confusion

Students sometimes check only two side ratios or mix up the side order.

Exam tip

Always compare sides in matching order before concluding SSS similarity.

Answer writing and exam use

1-mark use

Write the exact meaning of sss similarity criterion in one clean line.

2-mark use

Define sss similarity criterion and add one example or condition.

3-mark use

Explain sss similarity criterion, show the method or example, and mention the common mistake.

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