ICSE Board Practice

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ICSE Grade VIII - Quadrilaterals

Question 1

1.	The figure formed by successively joining the mid-points of the sides of a parallelogram is
	parallelogram square rectangle rhombus

Question 2

2.	In rhombus CDEF , diagonals   CE     and   DF     intersect at G . Then ∠DEG ≠
	∠CGF ∠GEF ∠FCG ∠GCD

Question 3

3.	In the figure given below, MNOP is a rectangle. Find the values of x and y
	x = 51.76° , y = 42.24° x = 49.76° , y = 40.24° x = 47.76° , y = 38.24° x = 48.76° , y = 39.24° x = 50.76° , y = 41.24°

Question 4

4.	In rhombus HIJK , diagonals   HJ     and   IK     intersect at L . Then △KHI ≅
	△IJK △JKH △HIJ △LHI

Question 5

5.	In rhombus EFGH , diagonals   EG     and   FH     intersect at I . Then ∠EFG =
	∠HEF ∠EFI ∠GHE ∠FGH

Question 6

6.	In the figure given below, FGHI is a rhombus. Find the values of x and y
	x = 37.94° , y = 37.94° x = 35.94° , y = 35.94° x = 33.94° , y = 33.94° x = 34.94° , y = 34.94° x = 36.94° , y = 36.94°

Question 7

7.	Which of the following statements are true?
	a) In a parallelogram, both adjacent angles can be acute b) In a parallelogram, both adjacent angles can be obtuse c) In a parallelogram, both adjacent angles can be right angles d) In a parallelogram, adjacent angles are complementary e) In a parallelogram, adjacent angles are supplementary
	{b,e} {d,a,c} {b,e,c} {c,e} {a,c}

Question 8

8.	Which of the following are true?
	a) A trapezium is a parallelogram b) A trapezium is a rhombus c) A parallelogram is a trapezium d) A rhombus is a trapezium e) A rectangle is a square
	{e,a,c} {c,d} {a,c} {b,d,c} {b,d}

Question 9

9.	In rhombus PQRS , diagonals   PR     and   QS     intersect at T . Then   QR     ∥
	PQ       SP       QS       RS

Question 10

10.	The angles of a quadrilateral OPQR are in the ratio 25 : 7 : 11 : 77. Find the measure of each angle of the quadrilateral.
	O = 75° , P = 21° , Q = 33° , R = 231° O = 73° , P = 23° , Q = 32° , R = 232° O = 77° , P = 20° , Q = 31° , R = 232° O = 76° , P = 20° , Q = 35° , R = 229° O = 74° , P = 19° , Q = 34° , R = 233°

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