Question

Which of the following statements is true for a regular pentagon?

All vertices are con-cyclic.

All vertices are not con-cyclic.

Only four vertices are con-cyclic

Cannot say anything about regular pentagon​

Answer 1

All vertices are con-cyclic for a regular Pentagon.

Con Cyclic points are those point which lies on the same circle .

Vertices of all regular polygons are con cyclic.

As regular pentagon is a regular polygon and has 5 vertices hence all five vertices are con cyclic.

Hence correct statement is: All vertices are con-cyclic for a regular Pentagon.

As all five vertices are con-cyclic hence below statements are incorrect:

All vertices are not con-cyclic.

Only four vertices are con-cyclic

As we know that all vertices of a regular pentagon are con-cyclic hence below statement is also incorrect:

Cannot say anything about regular pentagon.

True statement is:

All vertices are con-cyclic for a regular Pentagon.