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Question
what is meant by concyclic points and circumcircle
what is concentric circle
what is orthocentre
what is centroid
what is circumcentre
what is meant by concyclic points and circumcircle
what is concentric circle
what is orthocentre
what is centroid
what is circumcentre
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Solution
A set of points is said to concyclic, if they lie on the same circle.
Circles having same centre but different radii are called concentric circle.
The circumcircle is the circle circumscribing the triangle i.e, the circle passing through the vertices of the triangle. The circumcentre is the point of intersection of perpendicular bisectors of the sides of the triangle. It is the centre of the circumcircle.
The centroid is the point of intersection of the medians of the triangle. It divides the medians in the ratio 2 : 1.
The orthocentre is the point of intersection of the altitudes of the triangle.
A set of points is said to concyclic, if they lie on the same circle.
Circles having same centre but different radii are called concentric circle.
The circumcircle is the circle circumscribing the triangle i.e, the circle passing through the vertices of the triangle. The circumcentre is the point of intersection of perpendicular bisectors of the sides of the triangle. It is the centre of the circumcircle.
The centroid is the point of intersection of the medians of the triangle. It divides the medians in the ratio 2 : 1.
The orthocentre is the point of intersection of the altitudes of the triangle.
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