Lesson 9 6 Circles and the Pythagorean Theorem

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Lesson 9. 6 Circles and the Pythagorean Theorem In Chapter 6, you discovered a

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 , 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 JRLeon Geometry Chapter 9. 6 HGSH

Lesson 9. 6 JRLeon Circles and the Pythagorean Theorem Geometry Chapter 9. 6 HGSH

Lesson 9. 6 JRLeon Circles and the Pythagorean Theorem Geometry Chapter 9. 6 HGSH

Lesson 9. 6 JRLeon Circles and the Pythagorean Theorem Geometry Chapter 9. 6 HGSH

Lesson 9. 6 JRLeon Circles and the Pythagorean Theorem Geometry Chapter 9. 6 HGSH

Lesson 9. 6 JRLeon Circles and the Pythagorean Theorem Geometry Chapter 9. 1 -9.

Lesson 9. 6 JRLeon Circles and the Pythagorean Theorem Geometry Chapter 9. 1 -9. 2 HGSH

Lesson 9. 6 JRLeon Circles and the Pythagorean Theorem Geometry Chapter 9. 1 -9.

Lesson 9. 6 JRLeon Circles and the Pythagorean Theorem Geometry Chapter 9. 1 -9. 2 HGSH

Lesson 9. 6 JRLeon Circles and the Pythagorean Theorem Geometry Chapter 9. 1 -9.

Lesson 9. 6 JRLeon Circles and the Pythagorean Theorem Geometry Chapter 9. 1 -9. 2 HGSH

Lesson 9. 6 JRLeon Circles and the Pythagorean Theorem Geometry Chapter 9. 1 -9.

Lesson 9. 6 JRLeon Circles and the Pythagorean Theorem Geometry Chapter 9. 1 -9. 2 HGSH

Lesson 9. 6 JRLeon Circles and the Pythagorean Theorem Geometry Chapter 9. 1 -9.

Lesson 9. 6 JRLeon Circles and the Pythagorean Theorem Geometry Chapter 9. 1 -9. 2 HGSH

Lesson 9. 6 Circles and the Pythagorean Theorem Classwork: 9. 6 Pages 509 -510:

Lesson 9. 6 Circles and the Pythagorean Theorem Classwork: 9. 6 Pages 509 -510: problems 1 thru 16 JRLeon Geometry Chapter 9. 1 -9. 2 HGSH