Which best describes the polygon whose vertices in the coordinate plane are (5, 5), (0, 5), (0, 0), (5, 0)?
only equilateral
only equiangular
regular
none of these
Which best describes the polygon whose vertices in the coordinate plane are (2, 3), (2, 3), (2, 1), (2, 1)?
only equilateral
only equiangular
regular
none of these
did you plot the points? The first one is clearly a square. So, now what is your choice?
The second, assuming no typos, has duplicate points, so it is just a short vertical line.
Square
To determine the type of polygon represented by the given vertices, we need to analyze its characteristics.
First, let's plot the given points on the coordinate plane. The points (5, 5), (0, 5), (0, 0), and (5, 0) form a square shape.
A square meets the following criteria:
- All four sides are equal in length
- All four angles are equal (right angles)
Based on these characteristics, the polygon described by the given vertices is a square.
Therefore, the correct answer is "regular." Regular polygons have all sides and angles equal, and a square is an example of a regular polygon.