The circumcentre of a triangle is the point where:

The medians meet

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The altitudes meet

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The perpendicular bisectors of the sides of the triangle meet

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The bisectors of the angles of the triangle meet

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Solution

The correct option is C The perpendicular bisectors of the sides of the triangle meet
Circumcentre is the point of intersection of perpendicular bisector of sides.
So option $C$ is correct.

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Similar questions

Q. Match the following.

$(1)$ Orthocentre	(A) The point of intersection of the perpendicular bisectors of the sides of a triangle.
$(2)$ Centroid	(B) The point at which the three angle bisectors of a triangle meet.
$(3)$ Circumcentre	(C) The point at which the altitudes of a triangle meet.
$(4)$ Incentre	(D) The point at which the medians of a triangle meet.

Q. Which of the following statements is / are correct statements?
1. Centroid of a triangle is the point of concurrency of medians.
2. Incentre of a triangle is the point of concurrency of perpendicular bisectors of the sides of the triangle.
3. Circumcentre of a triangle is the point of concurrency of internal bisectors of the angles of the triangle.
4. Orthocentre of a triangle is the point of concurrency of altitudes of the triangle drawn from one vertex to opposite side.
5. A triangle can have only one excentre.

Which of the following statements is / are correct statements?
1. Centroid of a triangle is the point of concurrrency of medians
2. Incentre of a triangle is the point of concurrency of perpendicular bisectors of the sides of the triangle
3. Circumcentre of a triangle is the point of concurrency of internal bisectors of the angles of the triangle
4. Orthocentre of a triangle is the point of concurrency of altitudes of the triangle drawn from one vertex to opposite side
5. A triangle can have only one excentre

Q. Line segments joining the vertices to the mid-points of the opposite sides of a triangle are known as

(a) medians
(b) altitudes
(c) heights
(d) angle bisectors

Q. is the point where all the perpendicular bisectors of the sides of a triangle meet.

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The circumcentre of a triangle is the point where:

The correct option is C The perpendicular bisectors of the sides of the triangle meet Circumcentre is the point of intersection of perpendicular bisector of sides.So option C is correct.

The correct option is C The perpendicular bisectors of the sides of the triangle meet
Circumcentre is the point of intersection of perpendicular bisector of sides.
So option $C$ is correct.