How Much Do You Know About Geometry?

Geometry Level 4

Consider the following statements.

$[1]$ . The converse of Ptolemy's Theorem isn't always true.

$[2]$ . If a trapezium [a convex quadrilateral with at least one pair of sides parallel] is cyclic, then its legs are always equal.

$[3]$ . The lowest value of a power of a point is $0$ .

Which of these are correct?

This problem is from the set "MCQ Is Not As Easy As 1-2-3". You can see the rest of the problems here.