Q1 of 186 Page 211

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 these triangles ABC and PQR, observe that

∠BAC = ∠PQR = 50°


∠ABC = ∠QPR = 60°


∠ACB = ∠PRQ = 70°


Thus, by angle-angle-angle similarity, i.e., AAA similarity,


∆ABC ∼ ∆PQR


More from this chapter

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12

In the adjoining figure, ABC is a triangle in which AB = AC. If D and E are points on AB and AC respectively such that AD = AE, show that the points B, C, E and D are concyclic.

 13

In ΔABC, the bisector of ∠B meets AC at D. A line PQ || AC meets AB, BC, and BD at P, Q and R respectively.

Show that PR x BQ = QR x BP.


 1

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.

 1

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.