Mathematics

State which pairs of triangles are similar. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form :

Triangles

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Answer

In Δ ABC and Δ PQR,

$\dfrac{AB}{QR} = \dfrac{2}{4} = \dfrac{1}{2}$

$\dfrac{BC}{PR} = \dfrac{2.5}{5} = \dfrac{1}{2}$

$\dfrac{AC}{PQ} = \dfrac{3}{6} = \dfrac{1}{2}$

Since,

$\Rightarrow \dfrac{AB}{QR} = \dfrac{BC}{PR} = \dfrac{AC}{PQ} = \dfrac{1}{2}$ .

Hence, Δ ABC ~ Δ PQR by S.S.S. axiom.

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