Question

PLEASE ANSWER

Which of the following statements are correct? Select all that apply.

-- Only two of three angle bisectors of the internal angles of a triangle are concurrent.

-- The circumcenter of a triangle is the point where the perpendicular bisectors of the sides meet.

-- Given any three non-collinear points, there exists exactly one circle that passes through the points.

-- A circumscribed circle is the circle that passes through all three vertices of a triangle and it is the smallest triangle contained within any triangle.

-- The incenter of a triangle is the point where the angle bisectors meet.

Answer 1

CORRECT:

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides meet

Given any three non-collinear points, there exists exactly one circle that passes through the points.

The incenter of a triangle is the point where the angle bisectors meet.

Explanation:

said so in algebra nation and the answer above didnt talk abt the circumscribed circle so rip to whoever did wtvr they said

Answer 2

Explanation:

Given are some properties of triangles and we have to check whether they are correct

i) Only two of three angle bisectors of the internal angles of a triangle are concurrent.

This is incorrect since all three angle bisectors concur at incentre

ii) The circumcenter of a triangle is the point where the perpendicular bisectors of the sides meet.

-- correct because the meeting point is equidistant from all three vertices

iii) Given any three non-collinear points, there exists exactly one circle that passes through the points.

-- correct because any three points determine a circle

iv) Given any three non-collinear points, there exists exactly one circle that passes through the points.

-- Correct

v) The incenter of a triangle is the point where the angle bisectors meet.

-- Correct and the centre is equidistant from the sides of the triangle