THIS PROBLEM IS FROM THE CCSS


G-C.4. (+) Construct a tangent line from a point outside a given circle to the circle.

The problem says that I need to construct a tangent line from a point outside a circle to the circle.
What am I trying to solve? I am trying to figure out how to place this line so it is tangent.
The important/essential information is that I use the definition of a tangent line.

Hint: Review the Semicircle Theorem
Step 1
Tangents1.jpg


Step 2
Tangents2.jpg
Step 3


Tangents3.jpg



Measure with protractor and learn that the angle is ~91.1 degrees. How can we improve the accuracy in this environment?

June 2014 - Updated