Question

In the polygon with vertices U(-4,-5), V(-4,4), W(-2,4), X(-2,1), Y(1,1), and Z(1,-5), what type of polygon is formed?

a) Triangle
b) Quadrilateral
c) Pentagon
d) Hexagon

Answer 1

The given polygon with the given vertices forms a hexagon.

Step-by-step explanation:

The given polygon has 6 vertices: U(-4,-5), V(-4,4), W(-2,4), X(-2,1), Y(1,1), and Z(1,-5).

To determine the type of polygon formed, we count the number of sides:

1. Segment UV = 2 units
2. Segment VW = 3 units
3. Segment WX = 3 units
4. Segment XY = 5 units
5. Segment YZ = 6 units
6. Segment ZU = 9 units

Since the polygon has 6 sides, it is a hexagon.