## Geometry

### Triangles

A triangle is one of the basic shapes in geometry. In this unit, students investigate the relationship among the sides and between the sides and angles of a given triangle including special segments such as median and altitude. They also investigate conditions necessary to have congruent triangles, use appropriate notation to describe two congruent triangles, and examine theorems that establish congruency between two triangles.

### Geometry: Triangles Activities

Title Type

#### Corresponding Parts of Congruent Triangles

Explore corresponding parts of congruent triangles.

• 7138

#### Angle-Side Relationships

Investigate some necessary conditions for creating a triangle.

• 6948

#### Triangle Inequality Theorem

Given the measures of any three segments, will you always be able to make a triangle?

• 5802

#### Triangle Sum Theorem

Investigate the special relationship of the angles of a triangle.

• 6910

#### Special Segments in Triangles

Create four special segments from a given vertex in a triangle and identify relationships among the special segments and the angles they form.

• 6712

#### Congruent Triangles

This activity is intended to provide students with an opportunity to discover three methods of proving triangles congruent: SSS, SAS, and ASA.

• 5320

#### Side-Side-Angle: The Ambiguous Case

Experiment with segment lengths and angle measures.

• 6637