Question

What is the minimum number of pieces of information you think you would need in order to prove that a given quadrilateral is a square? When you answer this question, post your answer along with theorems, postulates, or definitions that support your answer. Come to a conclusion as a group about what the minimum number is, as well as if there is more than one way to prove a quadrilateral is a square using that minimum number of pieces of information.

Answer 1

At least 4 numbers of information is needed

The four are highlighted below in the explanation section

Explanation:

1. Given that the shape has four right angles and that all its sides are congruent then it's a quadrilateral

2. If two sides are consecutively congruent it is a quadrilateral shape

3. If a rhombus contains a right angle, then it’s a square shaped rhombus

4. If a quadrilateral is both a rectangle and a rhombus, then it’s a square