ICSE Board Practice

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ICSE Grade IX - Quadrilaterals

Question 1

1.	In the given figure, HIJK is a parallelogram. The bisector of the angles H, I, J & K intersect at T, U, V & W to form a quadrilateral. Find ∠UVW
	89° 91° 90° 92° 88°

Question 2

2.	Three angles of quadrilateral measure 119.34°, 58.14° and 64.67° respectively. Find the measure of the fourth angle
	119.85° 118.85° 116.85° 117.85° 115.85°

Question 3

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

Question 4

4.	In parallelogram GHIJ , diagonals   HJ     and   GI     intersect at K . Then GK   =
	HK IK HI JK JG

Question 5

5.	In the adjoining figure, EFGH is a parallelogram in which ∠HEG = 19.8° , ∠GEF = 23.59° , ∠HIG = 76.28° . Calculate ∠GHF
	80.13° 78.13° 79.13° 81.13° 82.13°

Question 6

6.	In the figure given below, DEFG is a rhombus. Find the values of x and y
	x = 57.18° , y = 57.18° x = 58.18° , y = 58.18° x = 59.18° , y = 59.18° x = 56.18° , y = 56.18° x = 55.18° , y = 55.18°

Question 7

7.	Two adjacent angles of a parallelogram OPQR are in the ratio 6 : 6. Find the measure of each of its angles.
	O = 89° , P = 88° , Q = 91° , R = 92° O = 90° , P = 90° , Q = 90° , R = 90° O = 91° , P = 89° , Q = 92° , R = 88° O = 92° , P = 89° , Q = 88° , R = 91° O = 88° , P = 92° , Q = 89° , R = 91°

Question 8

8.	In parallelogram MNOP , diagonals   NP     and   MO     intersect at Q . Then MN   =
	NO NP PM MO OP

Question 9

9.	In the given figure, EFGH is a parallelogram such that I and J are mid-points of sides EF & GH . EJ meets FH at S and GI meets FH at T . Given FH = 18 cm , find FT
	6.00 cm 8.00 cm 4.00 cm 5.00 cm 7.00 cm

Question 10

10.	How many diagonals does a quadrilateral have?
	3 4 0 2 1

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