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Look at the theater on First Ave, between Alder and Birch. If the corners of the theater are all right angles, is the theater a parallelogram? Why or why not?

Look at the school on Second Ave, between Dogwood and Elm.

a) Is the school a quadrilateral? Why or why not?

b) Is the school a parallelogram? Why or why not?

Answer :

Final answer:

A parallelogram is a quadrilateral with opposite sides that are parallel and equal, and with equal opposite angles. A theater with all right angles fits this description. A school is a quadrilateral, but we can't determine if it's a parallelogram without further information.

Explanation:

Yes, the theater is a parallelogram. In geometry, a parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and the opposite angles are also equal. Additionally, having all right angles means that the parallelogram is a specific type of parallelogram called a rectangle.

For the school, a) Yes, the school is a quadrilateral. A quadrilateral is any polygon that has exactly four sides, regardless of the orientation of those sides. This means that any four-sided figure, including the school building, is a quadrilateral. b) Whether or not the school is a parallelogram depends on its characteristics. If its opposite sides are parallel and of equal length, and the opposite angles are also equal, then the school is a parallelogram. Without specific details about the angles and sides of the school, we can't definitively say if it's a parallelogram.

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