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. De

Question

3 years ago

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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. De

nna 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.

Mathematics

2 answers:

Nonamiya [84] · Answer 1 · 2022-08-14T21:23:24+03:00

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.

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gregori [183] · Answer 2 · 2022-08-14T19:28:43+03:00

gregori [183]3 years ago

4 0

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.