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| Theorem 3 (S.S.S.) Similarity |
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| If three pairs of corresponding sides are proportional then the two triangles are similar. |
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| In DABC and
DPQR, |
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| DABC ~ DPQR |
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| The above three theorems are without proof. Such theorems can be called postulates. |
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| Now, let us compare similar triangles and congruent triangles: |
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In  PQ || BC, AP = 7.2 cm, AC = 9.0 cm, QC = 6.3 cm. Find AB |
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 AB = 9 x  |
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| = 24.0 cm |
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In  PQ || BC, AP = 7.2 cm, AB = 3.0 cm, CQ = 2.8 cm, Find AQ. |
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 AQ =  |
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| = 4.8 cm |
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| In the given figure, PQ || BC, AB = 4.0 cm, AC = 3.2 cm, AP = 6.0 cm. Find CQ. |
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| = 4.8 cm |
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 CQ = AC + AQ |
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| = 3.2 + 4.8 |
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| = 8.0 cm |
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