Education Technology

# Activities

• ##### Subject Area

• Math: Geometry: Circles

9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

4.5

## Chords of a Circle

#### Activity Overview

Explore the relationship between chords of a circle and their perpendicular bisectors.

#### Objectives

• Students will explore the relationship between chords of a circle and their perpendicular bisectors.
• Students will discover that the perpendicular bisector of a chord always passes through the center of a circle.
• Students will discover that a line perpendicular to a chord that passes through the center of a circle always bisects the chord. Students then apply these relationships to right triangles.
• Students will discover that two chords are congruent if and only if they are equidistant from the center of a circle.

#### Vocabulary

• chord of a circle
• perpendicular bisector
• equidistant