Question

assignment #9 name the polygon by the number of sides. tell whether it is convex or concave. 1. image of a hexagon 2. image of a concave polygon

Explanation:

Problem 1:

Step1: Count the number of sides

The polygon has 5 sides. A 5 - sided polygon is called a pentagon.

Step2: Determine convex/concave

In a convex polygon, all interior angles are less than \(180^{\circ}\) and all vertices point outwards. For this pentagon, all interior angles are less than \(180^{\circ}\), so it is convex.

Step1: Count the number of sides

The polygon has 4 sides. A 4 - sided polygon is called a quadrilateral.

Step2: Determine convex/concave

In a concave polygon, at least one interior angle is greater than \(180^{\circ}\) (or at least one vertex points inwards). For this quadrilateral, one of the vertices points inwards, so it is concave.

Answer:

The polygon is a pentagon and it is convex.

Problem 2: