Podcast
Questions and Answers
A triangle is a polygon with ______ angles and ______ sides.
A triangle is a polygon with ______ angles and ______ sides.
three, three
The sum of the interior angles of a triangle is always equal to ______.
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 ______.
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.
The exterior angles of a triangle are equal to the sum of the two opposite ______ angles.
Two triangles are congruent (equal) when they have the same ______ and ______.
Two triangles are congruent (equal) when they have the same ______ and ______.
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 ______.
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 ______.
What is a polygon?
What is a polygon?
How is the name of a polygon related to its characteristics?
How is the name of a polygon related to its characteristics?
What are the conditions for a polygon to be classified as regular?
What are the conditions for a polygon to be classified as regular?
How are irregular polygons different from regular polygons?
How are irregular polygons different from regular polygons?
What are non-polygons?
What are non-polygons?
What are the interior and exterior angles of a polygon related to?
What are the interior and exterior angles of a polygon related to?
What is an interior angle of a polygon?
What is an interior angle of a polygon?
Define an exterior angle of a polygon.
Define an exterior angle of a polygon.
What is the relationship between the interior and exterior angles that are adjacent in a polygon?
What is the relationship between the interior and exterior angles that are adjacent in a polygon?
What do the exterior angles of a polygon add up to?
What do the exterior angles of a polygon add up to?
What is the sum of an interior angle and its corresponding exterior angle in a polygon?
What is the sum of an interior angle and its corresponding exterior angle in a polygon?
What are adjacent interior angles in a polygon?
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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