Q3 of 56 Page 116

Give two different examples of pairs of similar figures.

All circles are similar.


Let there be two circles of radii r1 and r2.



Now, shifting the centre of smaller circle to the bigger circle



If we slowly increase the radius of smaller circle, it will coincide with bigger circle when r2 = r1. Thus, the circles are similar.


All squares are similar.



Let there be two squares ABCD and EFGH. When the smaller square is kept at the centre of the square ABCD, then on increasing the side of EFGH both of them will coincide. Thus, they are similar.


More from this chapter

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1

Fill in the blanks:

(i) All circles are ……….


(ii) All squares are ………..


(iii) All ……… triangles are similar.


(iv) Two polygons with same number of sides are similar if


(a) …………………… (b)……………………

 2

State whether the following statement are true or false:

(i) Two congruent figures are similar.


(ii) Two similar figures are congruent.


(iii) Two polygons are similar if their corresponding sides are proportional.


(iv) Two polygons are similar if their corresponding sides are proportional and the corresponding angles are equal.


(v) Two polygons are similar if their corresponding angles are equal.

 1

Point D and E lie on the sides AB and AC respectively of ΔABC such that DE|| BC. Then,

If AD = 6 cm, DB = 9 cm and AE = 8 cm then find the value of AC.

 1

Point D and E lie on the sides AB and AC respectively of ΔABC such that DE|| BC. Then,

If and AC = 20.4 cm then find the value of EC.