ICSE Board Practice

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ICSE Grade IX - Mid-Point and Intercept Theorems

Question 1

1.	In the given figure, EFGH is a trapezium. I and J are mid-points of EH and FG.Given EF = 19 cm and GH = 9 cm, find IJ
	14.0 cm 13.0 cm 15.0 cm 12.0 cm 16.0 cm

Question 2

2.	In the given figure, if A, Q, R, S, T, U are equidistant and RP ∥ UB and AB = 24 cm. Find AP
	8.60 cm 9.60 cm 7.60 cm 10.60 cm 11.60 cm

Question 3

3.	In the given figure, △ABC is a triangle. D , E & F are mid-points of BC , CA & AB respectively. Given DE = 9 cm , EF = 9 cm & FD = 10 cm , find the sides of the triangle.
	19 cm , 18 cm & 20 cm 18 cm , 17 cm & 20 cm 16 cm , 18 cm & 20 cm 18 cm , 18 cm & 22 cm 18 cm , 18 cm & 20 cm

Question 4

4.	In the given figure, three lines l , m and n are such that l ∥ m ∥ n. Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively. △FEH ∼
	△DCF △DAE △ABH △ACF △FDA

Question 5

5.	In the given figure △JKL , M is the mid-point of     JK     and     MN     ∥   KL     , then   JN =
	JM KL 2 KL LJ 2 JK 2

Question 6

6.	In the given figure △EFG , H is the mid-point of     EF     and     HI     ∥   FG     , then   EH =
	FG 2 FG GE 2 EF 2 EI

Question 7

7.	In the given figure △JKL , M is the mid-point of     JK     and     MN     ∥   KL     , then   MK =
	JN LJ JM NL JK

Question 8

8.	In the given figure, HIJK is a parallelogram such that T is the mid-point of HI and  HI = 2KH. Find ∠KTJ
	91° 92° 89° 90° 88°

Question 9

9.	In the given figure △KLM , N is the mid-point of     KL     and     NO     ∥   LM     , then   KO =
	KL NL KN MK OM

Question 10

10.	In the given figure, the area of the △MNO is x sq.cm. P,Q,R are the mid-points of the sides NO , OM and MN respectively. The area of the △PQR is
	1 2 of area of △MNO 1 4 of area of △MNO 1 3 of area of △MNO 2 3 of area of △MNO 3 4 of area of △MNO

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