# Similar Triangles Questions

## 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

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 …

## In figures, (i) and (ii) DE || BC. Find EC in (i) and AD in (ii).

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.

## State whether the following quadrilaterals are similar or not :

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.

## Give two different examples of pair of (i) similar figures (ii) non-similar figures.

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.

## Fill in the blanks using the correct word given in the brackets :

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