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Answer:

The answer would be C. Polygon B represents the only parallelogram that a circle can circumscribe because opposite angles are supplementary.

Imagine a circle around the outside of the rectangle (polygon B), okay? Now, it should look like the image I attached (click the image for a much better view). See how all the points touch the circle? That is what circumscribe means. Now, polygon A has points that are uneven. Two points will not touch the circle (Y and A), but the other two will (X and Z). You want all the points to touch the circle.

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The true statement is (C) Polygon B represents the only parallelogram that a circle can circumscribe because opposite angles are supplementary.

What is a regular polygon?

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

As we know, in two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

The only parallelogram that a circle may round is represented by Polygon B since the opposing angles are complementary.

Thus, the true statement is (C) Polygon B represents the only parallelogram that a circle can circumscribe because opposite angles are supplementary.

Learn more about the regular polygon here:

brainly.com/question/11810316

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