Q1 of 49 Page 21

In figure 1.55, ∠ABC = 75°, ∠EDC = 75° state which two triangles are similar and by which test? Also write the similarity of these two triangles by a proper one to one correspondence.

With one- to-one correspondence ABC ↔ EDC

∵ ∠ABC ≅ ∠EDC = 75° 

∠ACB ≅ ∠ECD (Is common in both the triangles ABC and EDC)



⇒ Δ ABC~Δ EDC ………(By AA Test)

More from this chapter

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10

In the figure 1.44, X is any point in the interior of triangle. Point X is joined to vertices of triangle. Seg PQ || seg DE, seg QR || seg EF. Fill in the blanks to prove that, seg PR || seg DF.


Proof : IN



(Basic proportionality theorem)


In



(converse of basic proportionality theorem)

 11

In ΔABC, ray BD bisects ∠ABC and ray CE bisects ∠ACB. If seg AB ≅ seg AC then prove that ED || BC.

 2

Are the triangles in figure 1.56 similar? If yes, by which test?

 3

As shown in figure 1.57, two poles of height 8 m and 4 m are perpendicular to the ground. If the length of shadow of smaller pole due to sunlight is 6 m then how long will be the shadow of the bigger pole at the same time?