Question

On his math test, Balavan wrote that a four-sided polygon that has at least two right angles must be a rectangle or a square. Denna wrote that a four-sided polygon needs at least three right angles to be a rectangle or a square. Who is right? Explain your answer.

Answer 1

Answer:

Denna is correct. The sum of the angles in a quadrilateral is 360°, so if 3 of the angles are 90°, the fourth must also be 90°, creating a rectangle or a square. A quadrilateral can be drawn with the angles 90°, 90°, 120°, and 60°, but it is not a rectangle. Balavan is incorrect.

e2020 sample response

Step-by-step explanation:

Answer 2

A quadrilateral with only 2 right angles could be a trapezoid so Balavan is wrong.  Denna is right because if 3 angles are right angles the the  fourth angle must also be a right angle and has to be a square or rectangle.