Angle between tangents from external point

In this illustration, instead of showing students the obvious symmetry properties of circle, the students are instead requested to prove themselves are the property. While some students are able to observe and prove effectively, most students may required scaffold from teacher: 1. Select "Show tangents from point C to circle", do you observe the two radius, OD and OE? 2. Select "Show line segment OC", are you able to spot two triangles, OCD and OCE? 3. Select " Show angle between tangents and angle bisector", prove that the line OC is indeed the angle bisector.

 

Yoong Kheong

 
Resource Type
Activity
Tags
circles  of  practice  properties  symmetry 
Target Group (Age)
11 – 14
Language
English (United States)
 
 
 
© 2024 International GeoGebra Institute