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Question

The perpendicular bisectors of sides of a triangle are cevians.
  1. True
  2. False

A
True
B
False
Solution
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Similar Questions
Q1
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.

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Q2
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
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Q3
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.
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Q4
The perpendicular bisectors of sides of a triangle are cevians.
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Q5
Show that the perpendicular bisectors of the sides of a triangle are concurrent.
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