# Classroom Activities

• ##### Subject Area

• Math: Geometry: Circles

9-12

45 Minutes

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

TI-Nspire™
TI-Nspire™ CAS

3.0

• ##### Report an Issue

Intersecting Lines and Segment Measures

Published on 11/26/2011

#### Activity Overview

Explore the relationship between intersecting lines and the measures of various segments on those lines.

#### Objectives

• Students will investigate that if two chords of a circle intersect, the product of the segment lengths of one chord equals the product of the segment lengths of the other chord.
• Students will investigate that if two secant segments are drawn to a circle from an exterior point, then the product of the lengths of one secant segment and its external secant segment equals the product of the lengths of the other secant segment and its external secant segment.
• Students will investigate that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the tangent segment length equals the product of the lengths of the secant segment and its external secant segment.
• Students will investigate that if two segments from the same exterior point are tangent to a circle, then they are congruent.

• chord
• secant
• tangent