Question

study the coordinate plane below.
a certain polygon has its vertices at the following points:
(2, 5), (4, 3), (4, 7), (7, 3), and (7, 7)
what is the best description of this polygon?
a. trapezoid
b. pentagon
c. hexagon
d. parallelogram

Explanation:

Step1: Count the number of vertices

The polygon has vertices at \((2, 5)\), \((4, 3)\), \((4, 7)\), \((7, 3)\), and \((7, 7)\). Let's count the number of vertices: there are 5 vertices.

Step2: Recall the definition of a pentagon

A pentagon is a polygon with 5 sides (and thus 5 vertices). A trapezoid has 4 sides, a hexagon has 6 sides, and a parallelogram has 4 sides. Since this polygon has 5 vertices, it has 5 sides.

Answer:

B. pentagon