Question

Name each polygon by its number of sides and then classify it as convex or concave and regular or irregular.

Options:
A) 3 sides - Convex and Regular
B) 5 sides - Concave and Irregular
C) 6 sides - Convex and Irregular
D) 8 sides - Concave and Regular

Answer 1

To classify polygons by their number of sides and determine if they are convex, concave, regular, or irregular.

Step-by-step explanation:

The polygons can be named and classified as follows:

1. A) 3 sides - Convex and Regular (Triangle)
2. B) 5 sides - Concave and Irregular (Pentagon)
3. C) 6 sides - Convex and Irregular (Hexagon)
4. D) 8 sides - Concave and Regular (Octagon)

To determine if a polygon is convex or concave, we can focus on the angles formed by its sides. If all interior angles of a polygon are less than 180 degrees, it is convex. If at least one interior angle is greater than 180 degrees, it is concave. To determine if a polygon is regular or irregular, we can compare the lengths of its sides. If all sides are equal in length, it is regular. If at least one pair of sides have different lengths, it is irregular.