Polygon

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/polygon

1. What is the fundamental components?
2. How many sides does a triangle have?
3. What is the difference between a simple polygon and a self-intersecting polygon?

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the fundamental components?Defined by its sides (edges) and vertices (corners)
2. How many sides does a triangle have?A triangle has 3 sides, so it is a 3‑gon. A square has 4 sides, making it a 4‑gon.
3. What is the difference between a simple polygon and a self-intersecting polygon?A simple polygon’s sides only touch at their endpoints, forming a single region. A self‑intersecting polygon, like a star shape, has sides that cross each other.

Polygonal chain: A sequence of connected line segments where the endpoint of one segment is the start point of the next.
Vertex (plural: vertices): A point where two sides of a polygon meet; a corner.
Simple polygon: A polygon whose sides do not intersect each other except at their endpoints.
Self-intersecting polygon: A polygon whose sides cross over each other, creating a star-like or complex shape.