Module 2 Topic 1 Lesson 3 Activity 3.4
Method 1
Create an inscribed equilateral triangle in the circle below.
1) Measure the radius.
2) Create six points on the circle that are the same distance apart as found in step 1.
3) Connect every other point.
4) Measure the angles of the triangle to ensure each is 60 degrees.
Method 2
1) Create two equilateral triangles with sides lengths equal to the radius of the circle and shared side AB.
2) Bisect both inscribed angles.
3) Connect the two points where the line from the inscribed angles intersect the circle.
4) Measure the angles of the triangle to ensure each is 60 degrees.
Method 3
1) Create a diameter of the circle.
2) Create a perpendicular bisector of AB.
3) Connect the endpoints of the chord from step 2 with the opposite endpoint of the diameter (not B).
4) Measure the inscribed angles.