. Two groups of students are using a dynamic geometry software program to investigate the properties of quadrilaterals. The first group has concluded that the diagonals of a quadrilateral always bisect each other. The second group of students is not convinced. Which of the following should the teacher encourage the students to do to resolve the apparent contradiction and Why? A-D are answer choice

Question

A. Assume that the diagonals of a quadrilateral don't bisect each other and derive a contradiction.
B. Find an example of a quadrilateral with diagonals that do not bisect each other.
C. Formally prove that if the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram.
D. Use informal reasoning to show that the diagonals of a quadrilateral create

Answer 1

Personally, I would do B.

Answer 2

C is theoretically attractive but it took me about five seconds to do B so I would say B.