Q6 of 56 Page 127

Select the pairs of similar triangles from the figures of triangles given below and write them in symbolic language of their being similar.

In ΔABC & ΔQ’P’R,


∠A = ∠Q’


∠B = ∠P’


∠C = ∠R’


Thus, ΔABC~ΔQ’P’R’ |AAA Similarity Rule


In ΔMNP & ΔZXY,


∠M = ∠Z


∠P = ∠Y


Thus, ΔMNP~ΔZXY |AA Similarity Rule


In ΔPQR & ΔEFG,



Thus, the corresponding sides are proportional.


Thus, ΔPQR~ΔEFG |SSS Similarity Rule


In ΔE’G’F’ & ΔNML,


∠E’G’F’ = ∠NML



Thus, the corresponding sides are proportional with the angle between them equal.


Thus, ΔE’G’F’~ΔNML |SAS Similarity Rule


More from this chapter

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4

If two sides and one angle of a triangle and respectively proportional and equal to two sides and one angle of another triangle then the two triangles are similar. Is this statement true? Write answer with reason.

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What do you mean by equiangular triangles? What mutual relation can these hold?

 7

Figure ΔPRQ ~ ΔTRS. Then state which angles must be mutually equal in this pair of similar triangles.

 8

You are to select two triangles in the figure which are mutually similar if ∠CBE is = ∠CAD.