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Home » In each of the given pairs of triangles, find which pair of triangles are similar. State the similarity criterion and write the similarity relation in symbolic form:
In each of the given pairs of triangles, find which pair of triangles are similar. State the similarity criterion and write the similarity relation in symbolic form:
CBSE | Class 10 | Exercise 4B | Maths | RS Aggarwal | Triangles
In each of the given pairs of triangles, find which pair of triangles are similar. State the similarity criterion and write the similarity relation in symbolic form:

 

 

 

 

 

 

 

 

Answers:

(iii)

Given,

\begin{array}{l} \frac{{CA}}{{QR}} = \frac{{8}}{{6}}\\ \end{array}

\begin{array}{l} \frac{{CA}}{{QR}} = \frac{{4}}{{3}}\\ \end{array}

 

\begin{array}{l} \frac{{CB}}{{PQ}} = \frac{{6}}{{4.5}}\\ \end{array}

\begin{array}{l} \frac{{CB}}{{PQ}} = \frac{{4}}{{3}}\\ \end{array}

 

\begin{array}{l} \frac{{CA}}{{QR}} = \frac{{CB}}{{PQ}}\\ \end{array}

∠ACB = ∠PQR = 80o

By SAS similarity theorem, ∆ ACB – ∆ RQP.

 

(iv)

Given,

\frac{{DE}}{{QR}} = \frac{{2.5}}{5} = \frac{1}{2}

\frac{{EF}}{{PQ}} = \frac{{2}}{4} = \frac{1}{2}

\frac{{DF}}{{PR}} = \frac{{3}}{6} = \frac{1}{2}

\frac{{DE}}{{QR}} = \frac{{EF}}{PQ} = \frac{DF}{PR}

By SSS similarity theorem,

∆ FED- ∆ PQR

i

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