Education Technology

Proportional Segments

Published on 08/01/2011

Activity Overview

The purpose of this activity is to investigate the relationship between segments formed by drawing a line parallel to one side of a triangle or by drwing and angle bisector of one the angles.

Before the Activity

Students should have a working knowledge of TI-Nspire. At the same time students should have an understanding of Side-Side-Side similarity theorem.

During the Activity

See attachments.

After the Activity

In closing the activity, the teacher should guide the students in discovering that, if a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. Also, if a ray bisects an angle of a triangle, then it divides the opposite side into two segments whose lengths are proportional to the lengths of the other two sides.