Assignment 6 : Inscribed angle theorem in circle
Introduction
It is dynamic applet in GGB. It shows that inscribe angle theorem in circle. It means, the angle at circumference is half of central angle that subtends by the same arc. The angle dose not change as it's vertices is move to different position on the circle.
Objectives
To find out measure of inscribed angle is half of the measure of the intercepted arc .
User Guideline
In the GGB applet given below
click A or B or C
Rotate point A or B or C to change the measure of central angleBOA and inscribe angle BCA. Drag any point of circle & observe Relation between central angle and angle at circumference . while dragging the point of circle , observe if these angle can be half or not also click start then check your understanding.
Study this animation what did you notice ?
Test your understanding
Tick the best answer. If x be the central angle of a circle, then which of the following is angle of circunference ?
Select all that apply
- A
- B
- C
- D
Construction protocal
Open GGB applet .
Choose circle tool.
Then click circle with center through given point.
construct circle
Again go to circle tool then we choose circular arc or circular sector
Go to point tool choose point then take two points on circumference
Click origin then click A drag with point B also change colour ,line style ,font ...
again choose circular arc then drag B to A. Take another point C.
Draw AOB and BCA with the help of line segment.
Choose angle tool and replace angles.