Q4 of 95 Page 6

State whether the following right-angled triangles are similar or not:

Two polygons of a same number of sides are similar, if

a) all the corresponding angles are equal.


b) all the corresponding sides are in the same ratio (or proportion)


In case of right-angled triangle PQR and ABC




and


The corresponding sides of a right-angled triangle ABC and PQR are proportional, and their corresponding angles are not equal. Hence, triangles ABC and PQR are not similar.


More from this chapter

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2

State which of the following statements are true and which are false:

(i) Two similar figures are congruent.


(ii) All congruent figures are similar.


(iii) All isosceles triangles are similar.


(iv) All right-angled triangles are similar.


(v) All squares are similar.


(vi) All rectangles are similar.


(vii) Two photographs of a person made by the same negative are similar.


(viii) Two photographs of a person one at the age of 5 years and other at the age of 50 years are similar.

 3

Give two examples of:

(i) Congruent figures.


(ii) Similar figures which are not congruent.


(iii) Non-similar figures.

 5

State whether the following rectangles are similar or not.

 6

State whether the following quadrilaterals are similar or not: