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ICSE Grade IX - Quadrilaterals

Question 1

1.	In kite PQRS ,   PR     and   QS     are diagonals. Then △TQP ≅
	△SQR △TSP △TRS △TRQ △SQP

Question 2

2.	The sides of the quadrilateral are
	MO     ,   OP     ,   PN     ,   NM       MO     ,   ON     ,   NP     ,   PM       MN     ,   NO     ,   OP     ,   PM       MN     ,   NP     ,   PQ     ,   QM       MN     ,   NO     ,   OQ     ,   QM

Question 3

3.	Two adjacent angles of a parallelogram HIJK are in the ratio 5 : 25. Find the measure of each of its angles.
	H = 28° , I = 152° , J = 29° , K = 151° H = 30° , I = 150° , J = 30° , K = 150° H = 32° , I = 149° , J = 28° , K = 151° H = 31° , I = 149° , J = 32° , K = 148° H = 29° , I = 148° , J = 31° , K = 152°

Question 4

4.	A quadrilateral has three acute angles, each measuring 66°. What is the measure of its fourth angle?
	161.00° 162.00° 163.00° 164.00° 160.00°

Question 5

5.	Name all quadrilaterals whose all angles are right angles
	square,kite square,parallelogram square,rectangle rectangle,rhombus parallelogram,square,rhombus,rectangle

Question 6

6.	In the adjoining figure, ABCD is a kite in which AB = DA , BC = CD and the diagonals   BD     and   AC     intersect at   O . If ∠OCD = 32.21° and ∠ABO = 68.39°, find the measure of each of the angles marked a,b,c,d and e.
	a = 57.79° , b = 22.61° , c = 67.39° , d = 59.79° , e = 30.21° a = 57.79° , b = 22.61° , c = 68.39° , d = 57.79° , e = 32.21° a = 57.79° , b = 22.61° , c = 67.39° , d = 59.79° , e = 32.21° a = 57.79° , b = 21.61° , c = 68.39° , d = 57.79° , e = 32.21° a = 57.79° , b = 22.61° , c = 67.39° , d = 57.79° , e = 32.21°

Question 7

7.	In kite HIJK ,   HJ     and   IK     are diagonals. Then ∠HIJ =
	∠JKI ∠HKI ∠JKH ∠HLI ∠HLK

Question 8

8.	If ABCD is an isosceles trapezium, ∠D =
	∠A ∠C 90° ∠B

Question 9

9.	In kite IJKL ,   IK     and   JL     are diagonals. Then ∠IML =
	∠KLI ∠KLJ ∠IMJ ∠IJK ∠ILJ

Question 10

10.	In the given figure, DEFG is a parallelogram. If DV and EV are bisector of ∠D & ∠E , find ∠V
	92° 91° 89° 90° 88°

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