Question

The coordinates of the vertices of a polygon are shown below.

M(–1, 3), N(–4, 0), O(–1, –3), P(3, –3), Q(4, 0), R(3, 3)

What type of polygon is this figure?
heptagon
hexagon
octagon
quadrilateral

Answer 1

To determine the type of polygon formed by the vertices M(–1, 3), N(–4, 0), O(–1, –3), P(3, –3), Q(4, 0), R(3, 3), we first need to count the number of vertices.

The vertices are:
1. M(–1, 3)
2. N(–4, 0)
3. O(–1, –3)
4. P(3, –3)
5. Q(4, 0)
6. R(3, 3)

There are 6 vertices in total.

A polygon is categorized by the number of its sides (and vertices):
- A triangle has 3 sides (3 vertices).
- A quadrilateral has 4 sides (4 vertices).
- A pentagon has 5 sides (5 vertices).
- A hexagon has 6 sides (6 vertices).
- A heptagon has 7 sides (7 vertices).
- An octagon has 8 sides (8 vertices).

Since this polygon has 6 vertices, it is a **hexagon**.