Question

The figure shows a circle circumscribed around a triangle. what is constructed first when creating the circle?

a. perpendicular segments to the vertices of the triangle
b. perpendicular bisectors of the sides of the triangle
c. angle bisectors of each angle of the triangle
d. the incenter of the triangle

Answer 1

Option B is right on edgen

Answer 2

Option B is right

Explanation:

We have in a triangle there are some properties inherent.

One is the perpendicular bisectors of all sides are concurrent.

These three concur at a point called the circumcentre of the triangle.

When we draw perpendicular bisector for a side AB, we get that all points on the perpendicular bisector are equidistance from A and B.

When we take the point of intersection of perpendicular bisector of AB and BC, we have the intersecting point S(say) is equidistant from A and B and also from B and C

In short this is equidistant from all 3 vertices and hence is centre of circumcicle of triangle ABC