ICSE Board Practice

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ICSE Grade IX - Quadrilaterals

Question 1

1.	The opposite angles of the quadrilateral are
	∠M & ∠P , ∠N & ∠Q ∠M & ∠O , ∠N & ∠P ∠M & ∠N , ∠O & ∠P ∠M & ∠P , ∠O & ∠N ∠M & ∠O , ∠N & ∠Q

Question 2

2.	In rhombus KLMN , diagonals   KM     and   LN     intersect at O . Then ∠KLM =
	∠MNK ∠KLO ∠NKL ∠LMN

Question 3

3.	In the adjoining figure, FGHI is a parallelogram in which ∠IFH = 12.5° , ∠HFG = 19.07° , ∠IJH = 51.17° . Calculate ∠GHF
	10.50° 13.50° 12.50° 14.50° 11.50°

Question 4

4.	The name of the quadrilateral is
	DEFH DEFG DFEG DEGH DFGE

Question 5

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

Question 6

6.	Find the missing angle in the given rhombus
	62.03° 57.03° 47.03° 77.03° 52.03°

Question 7

7.	One of the diagonals of a rhombus is equal to one of its sides. Find the angles of the rhombus
	C = 58° , D = 122° , E = 59° , F = 121° C = 60° , D = 120° , E = 60° , F = 120° C = 62° , D = 119° , E = 58° , F = 121° C = 61° , D = 119° , E = 62° , F = 118° C = 59° , D = 118° , E = 61° , F = 122°

Question 8

8.	In rhombus LMNO , diagonals   LN     and   MO     intersect at P . Then ∠OLP ≠
	∠MNP ∠LPO ∠PNO ∠PLM

Question 9

9.	Two adjacent angles of a parallelogram are in the ratio 2 : 4 . Find the measure of each of its angles.
	A = 61° , B = 119° , C = 62° , D = 118° A = 59° , B = 118° , C = 61° , D = 122° A = 58° , B = 122° , C = 59° , D = 121° A = 62° , B = 119° , C = 58° , D = 121° A = 60° , B = 120° , C = 60° , D = 120°

Question 10

10.	In the adjoining figure, FGHI is a square. A line segment IK cuts the side GH at K and the diagonal FH at J such that ∠IJH = 100.76° and ∠JKH = x°. Find the value of x .
	53.76° 54.76° 57.76° 55.76° 56.76°

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