ICSE Board Practice

Generated 80 Correct 0 (0%) Incorrect 0 (0%)

ICSE Grade X - Angle Properties of a Circle

Question 1

1.	In the given figure, a pentagon is inscribed in a circle with centre O. Given DE = EF = FG and ∠DEF = 138°. Find ∠DCE
	21° 51° 36° 31° 26°

Question 2

2.	An arc subtends 90° in its alternate segment. The arc is
	minor segment major arc minor arc major segment semi-circle

Question 3

3.	In the given figure, HI is a side of regular 10-sided polygon and HJ is a side of regular 8-sided polygon inscribed in a circle with centre O. Find ∠HIJ
	32.5° 52.5° 27.5° 37.5° 22.5°

Question 4

4.	DEFGHI is a hexagon inscribed in a circle. Given ∠DEF = 116° & ∠FGH = 124°, find ∠HID
	125° 130° 120° 135° 150°

Question 5

5.	In the given figure, O is the centre of the circle. If ∠KJL = 50° and ∠JLM = 32°, find ∠LNM
	103° 98° 113° 128° 108°

Question 6

6.	Which of the following statements are true?
	a) If a trapezium is cyclic, it is a rectangle. b) A cyclic quadrilateral is a regular polygon. c) If a parallelogram is cyclic, it is a rectangle. d) If a rhombus is cyclic, it is a square. e) If a kite is cyclic, it is a square.
	{b,d} {e,a,c} {c,d} {a,c} {b,d,c}

Question 7

7.	An arc subtends 77° in its alternate segment. The arc is
	semi-circle quadrant minor arc major arc minor segment

Question 8

8.	The opposite angles in a cyclic quadrilateral are
	linear pair supplementary complementary equal

Question 9

9.	If two circles are concentric, then
	their radii are same their perimeters are same their centres are same their diameters are same

Question 10

10.	Angle subtended by the major arc at the centre is
	straight angle reflex angle zero angle obtuse angle right angle

• Verify Response
• More Questions