Special Points in an Equilateral and IsoscelesTriangle

Q.

Which of the following is true about an equilateral triangle?

1. Only the centroid and the circumcentre coincide in an equilateral triangle.

2. The centroid, the orthocentre, the circumcentre and the incentre all coincide in an equilateral triangle.

3. Only the circumcentre and the incentre coincide in an equilateral triangle

4. Only the centroid and the incentre coincide in an equilateral triangle.

Q.

In an equilateral triangle, its incentre, circumcentre, and the orthocentre are the same.

1. True

2. False

Q.

If you are looking at a triangle where the orthocenter, the centroid and the circumcenter lie at the same point, what type of triangle are you looking at?

1. isosceles triangle

2. equilateral triangle

3. right-angled triangle

4. scalene triangle

Q. In an equilateral triangle, the incentre, the orthocentre and the centroid are

1. coincident
2. collinear
3. concyclic
4. none of these

Q. In triangle centroid, circumcentre, incentre and orthocentre are all the same point.

1. Scalene
2. Equilateral
3. Isosceles
4. Right-angled

Q. If the orthocenter and circumcentre of a triangle are (0, 0) and (3, 6) respectively then the centroid of the triangle is

1. (2, 4)
2. (1, 2)
3. 
4.