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Robert states, "If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a rectangle." Decide if his statement is true or false.

Robert states, "If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a rectangle." Decide if his statement is true or false.
asked 1.7k views
5 votes
Robert states, "If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a rectangle." Decide if his statement is true or false.

asked
User Xaedes
by
8.7k points

2 Answers

4 votes

Answer:

False

Explanation:

answered
User Kaza
by
8.7k points
6 votes
It is false. It can be proven with a counterexample. The counterexample may be a rhombus. Rhombus is a quadrilateral, is not a rectangle and its diagonal bisect each other.
answered
User Jagadeeshwar
by
7.3k points
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