Ex.6.1 Q3 Triangles Solution - NCERT Maths Class 10

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Question

State whether the following quadrilaterals are similar or not:

 

Text Solution

Reasoning:

Two polygons of the same number of sides are similar, if

(i) all the corresponding angles are equal and

(ii) all the corresponding sides are in the same ratio (or proportion).

Steps:

In Quadrilaterals \(ABCD\) and \(PQRS\)

\[\begin{align}\frac{{AB}}{{PQ}} = \frac{{BC}}{{QR}} = \frac{{CD}}{{RS}} = \frac{{DA}}{{SP}} = \frac{{3}}{{8}}\end{align}\]

\( \Rightarrow \) Corresponding sides are in proportion

But \(\angle A \ne \angle P;\angle B \ne \angle Q\)

\( \Rightarrow \) Corresponding angles are not equal

\(\square ABCD \nsim \square PQRS \)

No, Quadrilateral \(ABCD\) is not similar to Quadrilateral \(PQRS\)

  
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