Question

Use graph paper and a straightedge to draw the figure Which best describes the polygon whose vertices in the coordinate plane are (3, 3), (5, 0), (5, -3), (1, -3), (1,0)?

A.only equilateral
B.only equiangular
C.regular
D.none of the above

Answer 1

The polygon with the given vertices is neither equilateral, equiangular, nor regular. Hence, the correct answer is D. none of the above.

Step-by-step explanation:

The question asks to describe the polygon with vertices at (3, 3), (5, 0), (5, -3), (1, -3), and (1, 0). Upon plotting these points on graph paper and connecting them with a straightedge, we observe that the shape is a five-sided figure with both pairs of opposite sides being parallel and of equal length. Specifically, the sides connecting (3, 3) to (5, 0) and (1, 0) to (1, -3) are parallel and equal in length, as are the sides connecting (5, 0) to (5, -3) and (1, -3) to (3, 3). The fifth side connects the points (3, 3) and (1, 0). It does not have a pair that is parallel or equal in length. This means the polygon is not equilateral (all sides the same length), nor is it equiangular (all angles the same measure). It is also not regular (equilateral and equiangular). Therefore, the best description for this polygon is D. none of the above.