📐 Topic Summary
The sum of the interior angles of a polygon depends on the number of sides it has. For a polygon with $n$ sides, the sum of its interior angles can be found using the formula $(n-2) \times 180^{\circ}$. Understanding this relationship allows us to calculate missing angles within polygons or classify polygons based on their angle sums.
Let's practice! This activity will reinforce your understanding of polygon interior angles through vocabulary, fill-in-the-blanks, and critical thinking questions.
🧩 Part A: Vocabulary
Match the term with its definition:
- Term: Polygon
- Term: Interior Angle
- Term: Convex
- Term: Concave
- Term: Regular Polygon
- Definition: A polygon with all sides and angles equal.
- Definition: An angle formed inside a polygon by two adjacent sides.
- Definition: A closed figure formed by line segments.
- Definition: A polygon with at least one interior angle greater than 180 degrees.
- Definition: A polygon with all interior angles less than 180 degrees.
✍️ Part B: Fill in the Blanks
The sum of the interior angles of a polygon with $n$ sides is given by the formula ________. A ________ polygon has all sides and angles equal. If a polygon has an interior angle greater than 180 degrees, it is called ________.
🤔 Part C: Critical Thinking
Explain how knowing the number of sides of a polygon helps you determine the sum of its interior angles. Provide an example.