AMC 10A 2019 Problem 6

For how many of the following types of quadrilaterals does there exist a point in the plane of the quadrilateral that is equidistant from all four vertices of the quadrilateral?

  1. a square

  2. a rectangle that is not a square

  3. a rhombus that is not a square

  4. a parallelogram that is not a rectangle or a rhombus

  5. an isosceles trapezoid that is not a parallelogram

Answer Choices
A. 1
B. 2
C. 3
D. 4
E. 5