B Which of the statements is true about the polygons below E D 120 degrees C 90 90 60 60 120 degrees 90 90 F D Polygon A Polygon

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B Which of the statements is true about the polygons below E D 120 degrees C 90 90 60 60 120 degrees 90 90 F D Polygon A Polygon

B A. It is possible to circumscribe a circle around each polygon because they are both quadrilaterals. B. It is not possible to circumscribe a circle about either polygon because they are both quadrilaterals. C. It is possible to circumscribe a circle about the parallelogram on the left only, because opposite angles must be supplementary D. It is possible to circumscribe a circle about the rectangle because its opposite angles are supplementary

Mathematics

1 answer:

Serhud [2] · Answer 1 · 2023-05-15T13:08:19+03:00

The statement that is true about the polygons is: the opposite angles of the rectangle are supplementary, therefore, a circle can be circumscribed about the rectangle.

<h3>What is a Circumscribed Quadrilateral?</h3>

An circumscribed quadrilateral is a quadrilateral whose four side lie tangent to the circumference of a circle. The opposite angles in an inscribed quadrilateral are supplementary, that is, when added together, their sum equals 180 degrees.

From the two figures given, the opposite angles of the rectangle are supplementary, therefore, a circle can be circumscribed about the rectangle. (Option D).

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