Question : The point equidistant from the vertices of a triangle is called its:

Option 1: Incentre

Option 2: Circumcentre

Option 3: Orthocentre

Option 4: Centroid

Question : In a $\triangle ABC$, AD, BE and CF are the medians from vertices A, B, and C, respectively. The point of intersection of AD, BE and CF is called

Option 1: median point

Option 2: orthocentre

Option 3: centroid

Option 4: incentre

Question : The orthocentre of a triangle lies on one of the sides. Then:

Option 1: The orthocentre lies on a vertex

Option 2: Circumcentre lies outside the triangle

Option 3: Circumcentre lies on the same side

Option 4: Centroid coincides with orthocentre

Question : The orthocentre of a triangle is the point where:

Option 1: the medians meet

Option 2: the altitudes meet

Option 3: the right bisectors of the sides meet

Option 4: the bisectors of the angles meet

Question : Suppose that the medians BD, CE, and AF of a triangle ABC meet at G. Then AG : GF is:

Option 1: 1 : 2

Option 2: 2 : 1

Option 3: 1 : 3

Option 4: 2 : 3