Question

Point H Is the circumcenter or a triangle DEF which must be true

Answer 1

Out of the 6 answers you have, the correct answers are 1, 3, 4, and 6. 

Answer 2

The correct options are 1, 3 and 6.

Explanation:

Circumcenter of a triangle:

1. It is the intersection point of perpendicular bisector of at least two sides of the triangle.

2. It is the center of the circle that passes through all vertices of the triangle.

It is given that the H Is the circumcenter or a triangle DEF. It means H is the center of the circle that passes through the points D,E,F.

Option 1 is correct.

HD,HE and HF are radius of the circle,

`HE\cong HD`

Option 3 is correct.

`\angle DLH\cong FNH=90^(\circ)`

Option 6 is correct.

Therefore the correct options are 1, 3 and 6.