Education Technology

# Activities

• ##### Subject Area

• Math: Geometry: Analytic Geometry
• Math: Geometry: Triangles

9-12

45 Minutes

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

TI-Nspire™
TI-Nspire™ CAS

2.0

## Concurrency & the Circumcenter

#### Activity Overview

In this activity, students will explore the perpendicular bisectors of the sides of a triangle. Students will discover that the perpendicular bisectors are concurrent. The point of concurrency is the circumcenter. Students should discover the relationship between the type of triangle and the location of the point of concurrency.

#### Key Steps

• Students will need to define concurrent and point of concurrency from their textbook or another source. Students will be exploring the perpendicular bisectors of the three sides of a triangle and discover that they are concurrent. The point of concurrency is the circumcenter. The students are asked various questions that can be answered on the handheld or the accompanying worksheet.

• Student will apply what they learned from Problem one and find the intersection of two perpendicular bisectors to find the circumcenter.