16
http:// www.regentsprep.org/ Regents/math/geometry/ 4.1b: Chords G -C.2 Identify and describe relationshipsam ong inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. CCSS GSE

Http:// ts/math/geometry/GP14/CircleCho rds.htm 4.1b: Chords CCSS GSE

Embed Size (px)

Citation preview

Page 1: Http:// ts/math/geometry/GP14/CircleCho rds.htm 4.1b: Chords CCSS GSE

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

4.1b: Chords

G-C.2 Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

CCSS

GSE

Page 2: Http:// ts/math/geometry/GP14/CircleCho rds.htm 4.1b: Chords CCSS GSE

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

A chord is a segment that joins two points of the circle.

Page 3: Http:// ts/math/geometry/GP14/CircleCho rds.htm 4.1b: Chords CCSS GSE

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

Page 4: Http:// ts/math/geometry/GP14/CircleCho rds.htm 4.1b: Chords CCSS GSE

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

Page 5: Http:// ts/math/geometry/GP14/CircleCho rds.htm 4.1b: Chords CCSS GSE

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

Page 6: Http:// ts/math/geometry/GP14/CircleCho rds.htm 4.1b: Chords CCSS GSE

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

Page 7: Http:// ts/math/geometry/GP14/CircleCho rds.htm 4.1b: Chords CCSS GSE

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

12

3

Page 8: Http:// ts/math/geometry/GP14/CircleCho rds.htm 4.1b: Chords CCSS GSE

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

How could we prove this is true?

Is there any way to draw 2 parallel lines within a circle and this not be true?

Page 9: Http:// ts/math/geometry/GP14/CircleCho rds.htm 4.1b: Chords CCSS GSE

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

Ex1. Find the length of a chord that is 8 inches from the center ofa circle with a radius of 12 inches.

Ex2. A chord is 15 inches long in a circle with a diameter of 20 inches. Find the distance from the center of the circle to the chord.

Page 10: Http:// ts/math/geometry/GP14/CircleCho rds.htm 4.1b: Chords CCSS GSE

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

Page 11: Http:// ts/math/geometry/GP14/CircleCho rds.htm 4.1b: Chords CCSS GSE

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

Page 12: Http:// ts/math/geometry/GP14/CircleCho rds.htm 4.1b: Chords CCSS GSE

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

Page 13: Http:// ts/math/geometry/GP14/CircleCho rds.htm 4.1b: Chords CCSS GSE

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

Page 14: Http:// ts/math/geometry/GP14/CircleCho rds.htm 4.1b: Chords CCSS GSE

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

Page 15: Http:// ts/math/geometry/GP14/CircleCho rds.htm 4.1b: Chords CCSS GSE

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

Page 16: Http:// ts/math/geometry/GP14/CircleCho rds.htm 4.1b: Chords CCSS GSE

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

Done