Two circles are congruent if they have equal __________ .

diameters

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chords

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segments

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radii

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Solution

The correct option is D radii
Two circles are congruent if they have equal radius.
We know that diameter = 2 x radius.
Equal radii means equal diameters.
Hence, two circles are also congruent if they have equal diameters.

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Similar questions

Q. Fill in the blanks:

(i) Two lines segments are congruent if they have ...... .
(ii) Two angles are congruent if they have ...... .
(iii) Two squares are congruent if they have ...... .
(iv) Two circles are congruent if they have ...... .
(v) Two rectangles are congruent if they have ...... .
(vi) Two triangles are congruent if they have ...... .

Q. Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.

Q. Which of the following statements are true and which of them are false?

(i) All squares are congruent.
(ii) If two squares have equal areas, they are congruent.
(iii) If two figures have equal areas, they are congruent.
(iv) If two triangles are equal in area, they are congruent.
(v) If two sides and one angle of a triangle are equal to the corresponding two sides and angle of another triangle, the triangle are congruent.
(vi) If two angles and any side of a triangle are equal to the corresponding angles and the side of another triangle then the triangles are congruent.
(vii) If three angles of a triangle are equal to the corresponding angles of another triangle then the triangles are congruent.
(viii) If the hypotenuse and an acute angle of a right triangle are equal to the hypotenuse and the corresponding acute angle of another right triangle then the triangle are congruent.
(ix) If the hypotenuse of a right triangle is equal to the hypotenuse of another right triangle then the triangles are congruent.
(x) If two triangles are congruent then their corresponding sides and their corresponding angles are congruent.

Question 1
Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.

Q. In two triangles ABC and ADC, if AB = AD and BC = CD. Are they congruent?

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Two circles are congruent if they have equal __________ .

The correct option is D radiiTwo circles are congruent if they have equal radius. We know that diameter = 2 x radius. Equal radii means equal diameters. Hence, two circles are also congruent if they have equal diameters.

The correct option is D radii
Two circles are congruent if they have equal radius.
We know that diameter = 2 x radius.
Equal radii means equal diameters.
Hence, two circles are also congruent if they have equal diameters.