MATHEMATICS ASSIGNMENT – IX STEPS … A T C Y Prog r am _________________________________________________________________________________
ASSIGNMENT ON CIRCLES Direction for 1 – 20: State True or False 1.
No three points on a circle are collinear.
2.
A circle has infinitely many radii.
3.
The centre of a circle is a part of the circle.
4.
In a circle all the radii have a common end point.
5.
An arc is a curved line.
6.
The measure of a minor arc is always an acute angle.
7.
The region surrounded by an arc and its corresponding chord is called a sector.
8.
The region surrounded by an arc and the two radii through the end points of the arc is called a sector.
9.
A circle divides the plane on which it lies into two parts.
10.
If two arcs of a circle are congruent, their corresponding sectors are also congruent.
11.
If two arcs of a circle are equal, then the angles subtended by them at the centre are also equal.
12.
There is one and only one circle passing through two distinct points on a plane.
13.
There are infinitely many circles passing through distinct points in a plane.
14.
If two circles with radii r1 and r2 do not intersect then the distance between their centres is always more than r1 and r2
15.
Any triangle can be inscribed in a circle.
16.
The perpendicular bisectors of the chords in a circle are concurrent
17.
Two circles are congruent if their diameters are equal.
18.
All squares are cyclic.
19.
All rectangles are cyclic.
20.
All triangles are cyclic.
21.
In the figure two circles with centers A and B intersect at P and Q. Prove that ∠APB = ∠AQB P B
A Q
STEPS____________________________________________________________ 1 Get free notes for Class X and IX on www.tcyonline.com