Page 11 - AG Unit 2 Capacity, Cavalieri, and Constructions

AG 2.3 Constructions: Creating a tangent to a circle from external point.

Name ______________________ Date __________ Class ____

Complete each step. Then explain which properties prove the line is tangent and meets circle at
a right angle.

http://www.mathopenref.com/consttangents.html

1. Explain HOW we know the point of tangency creates a 90° angle with circle.

2. Angle bisectors of a triangle are concurrent at the ____________.
3. The point of concurrency for the angle bisectors is equidistant from ________________.
4. The sides of the triangle are ____________ to the circle.
5. A radius of an inscribed circle is sometimes called the inradius. Explain why that would
be a suitable name for it.
6. The perpendicular bisectors of the sides of a triangle are concurrent at a point called the
______________________.
7. This point of concurrency is equidistant to_____________________.
8. The radii of circles made from perpendicular bisectors are often called the circumradius.
Why are these aptly named?