Question : E and F are points on the side PQ and PR respectively of a triangle PQR. For each of the following cases state whether EF || QR : (i) PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm (ii) PE = 4cm, QE = 4.5 …
Solution : (i) In figure (i) Since DE || BC, therefore \(AD\over DB\) = \(AE\over EC\) \(\implies\) \(1.5\over 3\) = \(1\over EC\) \(\implies\) EC = 2 cm. (ii) In figure (ii), Since DE || BC, therefore \(AD\over DB\) = \(AE\over EC\) \(\implies\) \(AD\over 7.2\) = \(1.8\over 5.4\) \(\implies\) AD = 2.4 cm.
Solution : In the given figures since sides are proportional but corresponding angles are not equal. Hence, we can say that these quadrilateral are not similar.
Solution : (i) Pair of similar figures examples are : (a) any two circles. (b) any two squares. (ii) Pair of non-similar figures examples are : (a) scalene triangle and equilateral triangle. (b) equilateral triangle and right angled triangle.
Question : Fill in the blanks using the correct word given in the brackets : (i) All circles are ………….. . (congruent, similar) (ii) All squares are ……….. . (similar, congruent). (iii) All ……………. triangles are similar. (isosceles, equilateral) Solution : (i) Similar (ii) similar (iii) equilateral
