1. Circles and the Pythagorean Theorem
Lesson 9.6
Circles and the Pythagorean Theorem
In Chapter 6, you discovered a number of properties that involved right angles in and around circles. In this lesson you will use the conjectures you made, along with the Pythagorean Theorem, to solve some challenging problems. Let’s review two conjectures that involve right angles and circles.
Tangent Conjecture: A tangent to a circle is perpendicular to
the radius drawn to the point of tangency.
Angles Inscribed in a Semicircle Conjecture: Angles inscribed
in a semicircle are right angles.
Tangent Segments Conjecture: Tangent segments to a circle
from a point outside the circle are congruent.
The following are two examples that use circle conjectures and
dissections, special right triangles, and the
Pythagorean Theorem.
JRLeon Geometry Chapter HGSH

2. Circles and the Pythagorean Theorem
Lesson 9.6
Circles and the Pythagorean Theorem
JRLeon Geometry Chapter HGSH

3. Circles and the Pythagorean Theorem
Lesson 9.6
Circles and the Pythagorean Theorem
JRLeon Geometry Chapter HGSH

4. Circles and the Pythagorean Theorem
Lesson 9.6
Circles and the Pythagorean Theorem
JRLeon Geometry Chapter HGSH

5. Circles and the Pythagorean Theorem
Lesson 9.6
Circles and the Pythagorean Theorem
JRLeon Geometry Chapter HGSH

6. Circles and the Pythagorean Theorem
Lesson 9.6
Circles and the Pythagorean Theorem
JRLeon Geometry Chapter HGSH

7. Circles and the Pythagorean Theorem
Lesson 9.6
Circles and the Pythagorean Theorem
JRLeon Geometry Chapter HGSH

8. Circles and the Pythagorean Theorem
Lesson 9.6
Circles and the Pythagorean Theorem
JRLeon Geometry Chapter HGSH

9. Circles and the Pythagorean Theorem
Lesson 9.6
Circles and the Pythagorean Theorem
Classwork:
9.6 Pages : problems 1 thru 16
JRLeon Geometry Chapter HGSH