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Multiple Lines of Symmetry

Say 'true' or...

Question

Say $' t r u e'$ or $' f a l s e'$ :
A circle is symmetric about each of its diameter.

A

True

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B

False

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Solution

The correct option is A True
The diameter divides the circle into two equal parts, that's why a circle is symmetric about each of its diameters.
Hence, the given statement is true.

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Similar questions

Q. In each of the following, state if the statement is true (T) of false (F);

(i) Every circle has a centre.
(ii) The centre of a circle is a point of the circle.
(iii) Any two radii of a circle make up a diameter.
(iv) Every chord of a circle is parallel to some diameter of the circle.
(v) A circle is symmetric about each of its diameters.
(vi) The diameter is twice the radius.
(vii) A radius is a chord of the circle.
(viii) Concentric circles have the same radii.
(ix) The nearer a chord to the centre of a circle, the longer is its length.

Question 4(a):

Say true or false
Two diameters of a circle will necessarily intersect.

Q. state true or false:
a circle is symmetrical about its radius

Say true or false:

(a) Two diameters of a circle will necessarily intersect.

(b) The centre of a circle is always in its interior.

Q. In each of the following, state if the statement is true (T) of false (F);

(i) Every circle has a centre.
(ii) The centre of a circle is a point of the circle.
(iii) Any two radii of a circle make up a diameter.
(iv) Every chord of a circle is parallel to some diameter of the circle.
(v) A circle is symmetric about each of its diameters.
(vi) The diameter is twice the radius.
(vii) A radius is a chord of the circle.
(viii) Concentric circles have the same radii.
(ix) The nearer a chord to the centre of a circle, the longer is its length.

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