Number Systems
click for solution paper (pdf)
1. Give two different examples of pair of (i) similar figures. (ii) non-similar figures. Solution: Two square of sides 4 cm and 8 cm each. A rhombus and a trapezium . 2. State whether the following quadrilaterals are similar or not Solution: Similar 3. In the figure (i) and (ii), DE || BC. Find EC in (i) and AD in (ii). Solution: (i) In D ABC DE is parallel to BC By Basic Proportionality Theorem ------------------- (1) Given: AD = 1.5 cm, DB = 3 cm, AE = 1 cm Let EC = ‘x’ cm Applying in (1) 1.5x = 3 x = x = 2 cm EC = 2cm (ii) Since DE || BC, using BPT …………………………. (1) Given: DB = 7.2 cm, AE = 1.8 cm, EC = 5.4 cm Let AD be = x sub. in (1) x = = \ AD = 2.4 cm 4. E and F are points on the sides PQ and PR respectively of a Δ 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 = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm (iii) PQ = 1.28 cm, PR = 2.56 cm,