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Searching for ## Triangles and Their Parts

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Geometry

Different triangles are analyzed and classified by varying the side lengths and angle measurements.

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After completing this tutorial, you will be able to complete the following:

- Classify triangles.
- Analyze characteristics and properties of triangles and develop mathematical arguments about their geometric relationships.

In order for students to truly grasp the changes of the triangle in the Activity Object, they should know that the sum of the angles of a triangle is 180o and be able to find a missing angle of a triangle.

The following key vocabulary terms will be used throughout this Activity Object:

- acute - an angle measuring less than 90o. A triangle can also be classified as acute when one angle of the triangle is measures less than 90o.
- angle - two rays that share the same endpoint and form an angle.
- angle measure - angles are measured in degrees (o). The sum of the angle measures of a triangle is 180o.
- classify - to arrange or organize according to class or category.
- congruent - exactly equal in size and shape. A pair of angles and/or side measures can be considered congruent.
- equilateral - a triangle with three congruent angles and side lengths.
- isosceles - a triangle with two congruent angles and side lengths.
- obtuse - an angle measuring more than 90o. A triangle can also be classified as obtuse when one angle of the triangle is measures more than 90o.
- right - an angle measuring exactly 90o. A triangle can also be classified as right when one angle of the triangle is measures exactly 90o.
- scalene - a triangle with three incongruent angle measures.
- triangle - a polygon with three angles and three sides.

Approximate Time | 10 Minutes |

Pre-requisite Concepts | Students should be familiar with angles and triangles. |

Course | Geometry |

Type of Tutorial | Skills Application |

Key Vocabulary | angles, angle measures, classify |