Question

Tell whether the figure is a polygon. If it is a polygon,
classify it and tell whether it is convex or concave.

Answer 1

Answers:

• Polygon? Yes
• Classify: Pentagon
• The polygon is concave

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Explanation:

The figure is a polygon because it's composed of straight lines only, and we have a closed loop (or enclosed area).

This is a pentagon since it has 5 sides

The pentagon is concave because of the angle kicked in up top that caves in, so to speak. This interior angle exceeds 180 degrees and is known as a reflex angle.

Here's another way to determine the figure is concave: It's possible to pick two points inside the polygon such that the segment formed between them crosses outside the boundaries. See the diagram below.