## Questions and Answers

A triangle is a polygon with ______ angles and ______ sides.

three, three

The sum of the interior angles of a triangle is always equal to ______.

180º

The sum of the exterior angles of a triangle is always equal to ______.

360º

The exterior angles of a triangle are equal to the sum of the two opposite ______ angles.

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Two triangles are congruent (equal) when they have the same ______ and ______.

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The angle with the biggest amplitude is opposite to the side with the biggest ______. The angle with the smallest amplitude is opposite to the side with the smallest ______.

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What is a polygon?

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How is the name of a polygon related to its characteristics?

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What are the conditions for a polygon to be classified as regular?

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How are irregular polygons different from regular polygons?

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What are non-polygons?

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What are the interior and exterior angles of a polygon related to?

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What is an interior angle of a polygon?

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Define an exterior angle of a polygon.

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What is the relationship between the interior and exterior angles that are adjacent in a polygon?

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What do the exterior angles of a polygon add up to?

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What is the sum of an interior angle and its corresponding exterior angle in a polygon?

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What are adjacent interior angles in a polygon?

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## Study Notes

### Polygon Characteristics

- A triangle is a polygon with three angles and three sides.

### Angle Properties

- The sum of the interior angles of a triangle is always equal to 180 degrees.
- The sum of the exterior angles of a triangle is always equal to 360 degrees.
- The exterior angles of a triangle are equal to the sum of the two opposite interior angles.

### Congruent Triangles

- Two triangles are congruent (equal) when they have the same shape and size.

### Angle-Side Relationships

- The angle with the biggest amplitude is opposite to the side with the biggest length.
- The angle with the smallest amplitude is opposite to the side with the smallest length.

### Polygon Definitions

- A polygon is a 2D shape with at least three sides.
- The name of a polygon is related to its characteristics, with the Greek prefix indicating the number of sides (e.g., triangle for three sides, quadrilateral for four sides).

### Regular and Irregular Polygons

- A polygon is classified as regular if all its sides and angles are equal.
- Irregular polygons are different from regular polygons because they do not have equal sides and angles.

### Non-Polygons

- Non-polygons are shapes that do not have at least three sides.

### Angle Relationships

- The interior and exterior angles of a polygon are related in that they add up to 180 degrees when adjacent.
- An interior angle of a polygon is an angle inside the polygon.
- An exterior angle of a polygon is an angle outside the polygon, formed by extending a side.
- The sum of an interior angle and its corresponding exterior angle in a polygon is 180 degrees.
- Adjacent interior angles in a polygon are angles that share a side.

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