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.

Respuesta :

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.

Denna is right a four-sided polygon need at least three right angles to be a rectangle or a square.

Given that

On his math test, Balaban 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.

We have to determine

Who is right?

According to the question

The sum of the angles in a quadrilateral is 360°, and a rectangle or square has four 90° angles.

A quadrilateral can be formed with two right angles and two angles that are other measures.

If the three angles are 90°, the total is 270°, so the fourth angle is 90°.

A quadrilateral that has two right angles could be a trapezoid.

Denna is right because if 3 angles are right angles the fourth angle must also be a right angle and has to be a square or rectangle.

Hence, Denna is right a four-sided polygon need at least three right angles to be a rectangle or a square.

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