ICSE Board Practice

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ICSE Grade IX - Mid-Point and Intercept Theorems

Question 1

1.	DEFG is a quadrilateral. R, S, T and U are mid-points of DE, EF, FG and GD respectively.If  DF = 28 cm and EG = 15 cm, find the measure of the sides of RSTU.
	17 cm , 7.5 cm , 17 cm , 7.5 cm 14 cm , 5 cm , 14 cm , 5 cm 15 cm , 7.5 cm , 15 cm , 7.5 cm 14 cm , 6 cm , 14 cm , 6 cm 14 cm , 7.5 cm , 14 cm , 7.5 cm

Question 2

2.	In the given figure, △IJK is a triangle. L , M & N are mid-points of JK , KI & IJ respectively. Given LM = 9 cm , MN = 9 cm & NL = 10 cm , find the sides of the triangle.
	15 cm , 18 cm & 20 cm 18 cm , 18 cm & 20 cm 19 cm , 18 cm & 20 cm 18 cm , 18 cm & 22 cm 18 cm , 17 cm & 20 cm

Question 3

3.	In the given figure △DEF , G is the mid-point of     DE     and     GH     ∥   EF     , then   HF =
	DH DG GE DE FD

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. ∠ACF  =
	∠FDA ∠ABH ∠FEH ∠EHF ∠DAF

Question 5

5.	In the given figure, FGHI is a parallelogram such that J and K are mid-points of sides FG & HI . FK meets GI at Q and HJ meets GI at R . Given GI = 15 cm , find QR
	7.00 cm 4.00 cm 5.00 cm 3.00 cm 6.00 cm

Question 6

6.	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. ∠DAF  =
	∠CFA ∠HFE ∠EHF ∠BHA ∠AFD

Question 7

7.	In the given figure △GHI , J is the mid-point of     GH     and     JK     ∥   HI     , then   GK =
	IG JH GH GJ KI

Question 8

8.	In the given figure △ABC , D is the mid-point of     AB     and     DE     ∥   BC     , then   AD =
	CA 2 BC 2 AE AB 2 BC

Question 9

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

Question 10

10.	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. △FDA ∼
	△ABH △FEH △ACF △DCF △DAE

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