Circle O with tangent DE and Find all of the numbered angles.

Slides:

Advertisements

Similar presentations

Classifying Angles with Circles

Advertisements

OBJECTIVES: STUDENTS WILL BE ABLE TO… USE THE RELATIONSHIP BETWEEN A RADIUS AND A TANGENT USE THE RELATIONSHIP BETWEEN 2 TANGENTS FROM ONE POINT FIND THE.

9-6 Other Angles Thrm and examples. Examples EF is tangent to the circle A Measure of arc GB is 110 degrees Angle E is 30 degrees Measure of.

If the bases are the same, cancel them out! b x = b y x = y ©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia (MCC9‐12.N.RN.1; MCC9‐12.N.RN.2)

Geometry Section 10.4 Angles Formed by Secants and Tangents

Secants, Tangents, and Angle Measures

© 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaActivities from Patty Paper® Geometry by Michael Serra.

© 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia.

10.4 Other Angles Relationships In Circles. Theorem A tangent and a chord intersect at a point, it makes angles that are ½ the intercepted arc.

10.5 – Apply Other Angle Relationships in Circles.

SECANTS Secant - A line that intersects the circle at two points.

Inscribed angles [11.3] Objectives Students will be able to… Find the measure of an inscribed angle Find the measures of an angle formed by a tangent and.

Inscribed Angles Inscribed angles have a vertex on the circle and sides contain chords of the circle.

Directions 1.Fold the top right corner to meet the bottom. 2.Write your name & “Trig Book”. 3.Staple the hypotenuse. 4.Punch hole in the left side. Dr.

Dr. Jennifer L. Bell, © 2011, LaGrange High School, LaGrange, Georgia (MCC9‐12.A.REI.4b; MCC9‐12.F.IF.4; MCC9‐12.F.IF.5; MCC9‐12.F.IF.6; MCC9‐12.F.IF.7a;

(1, 16)(5, 12)(3, 5)(10, 2) (4, 9)(9, 7)(2, 18)(11, 13) (8, 11)(12, 19)(13, 6)(0, 20) (6, 13)(7, 11)(14, 10)(15, 1)

© 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia(MCC9-12.G.C.2; MCC9-12.G.C.3; MCC9-12.G.C.4)

Directions: You need 15 toothpicks. ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources.

TODAY IN GEOMETRY…  Review: Properties of Tangents  Learning Target : 10.2 You will use angle measures to find arc measures.  Independent practice.

Adapted from ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia.

How to FIND an Inverse How to VERIFY an Inverse x f(x)f(x)f(x)f(x) xf  1 (x) f(x) = 3x  2 f () = 3( )  2 f (f  1 (x)) = 3( )  2 x +

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources.

Section 10.5 Angles in Circles.

6.5 Other Angle Relationships in Circles. Theorem 6.13 If a tangent and a chord intersect at a point on the circle, then the measure of each angle formed.

Geometry Warm-Up4/5/11 1)Find x.2) Determine whether QR is a tangent.

Warm up You have 10 minutes 1. 15° ° ° ° ° ° ° 2. 90° ° 6. 90° 8. 30° ° ° ° This will be.

Session 25 Warm-up 1.Name a segment tangent to circle A. 2.What is the 3.If BD = 36, find BC. 4.If AC = 10 and BD = 24, find AB. 5.If AD = 7 and BD = 24,

Angle Relationships in circles

Other Angle Relationships in Circles

Logarithm Bingo! ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources.

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Geometry Chapter 10 Section 6

Section 10.5 Angles in Circles.

Lesson: Angle Measures and Segment Lengths in Circles

12-4 Angle Measures and Segment Lengths

Other Angle Relationships in Circles

Do Now One-half of the measure of an angle plus the angle’s supplement is equal to the measure of the angle. Find the measure of the angle.

15.5 Angle Relationships in Circles

Chapter 10.5 Notes: Apply Other Angle Relationships in Circles

Circles – Modules 15.5 Materials: Notes Textbook.

Solving Quadratics Bingo!

different y-intercepts

Solving a System of Equations

Secants, Tangents, and Angle Measure

Discovery Discriminant

Linear Regression Tongue Twister Lab Number of People

Exercises on Circles Geometry Regular Program SY Source:

Unit 4: Circles and Volume

10.5 Angle Relationships in Circles

Materials Needed: Directions:

4.1 Equations of circles Arcs, Inscribed Angles, Central Angles

Section 10.4 Other Angle Relationships in Circles

Unit 9 – Circles Acc. Alg/Geo A

Section 10.4 – Other Angle Relationships in Circles

Бази от данни и СУБД Основни понятия инж. Ангел Ст. Ангелов.

Special Triangle Roadmaps

How to make a box and whisker plot

Solving a System of Equations

Radius drawn to a tangent

For this activity, I design these stackable, concentric circles.

Discovery Discriminant

Solving Systems of Equations using Clearboards

3a2b +6ab 4a2b+6ab2 ab2 12a2+20a ab2 + 3a2b2 3ab 2a 3a4b2 + 6a2b3 4a

Solving a System of Equations

How to Solve Exponential Equations

Factoring a SUM of Cubes

Secants, Tangents, and Angle Measures

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Section 9-6: Other Angles

Chapter 10 Circles.

Presentation transcript:

Circle O with tangent DE and Find all of the numbered angles. 20° 70° 40° 60° 115° 90° 95° 135° 85° 85° 80° 65° 35° 95° 75° Find the measures of the arcs: 7x + 8x + 12x + 9x = 360 36x = 360 x = 10 120° © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Circle O with tangent MN. Find all of the numbered angles. 31° 60° 64.5° 122° 54.5° 84.5° 54.5° 95.5° 69° 95.5° Find the measures of the arcs: 60 + x + x + 40 + 2x - 16 = 360 4x + 84 = 360 4x = 274 x = 69 30° 84.5° 61° 30° 34.5° 109° © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Circle O with tangent SN. Find all of the numbered angles. 100° 70° 20° 40° 70° 20° 120° 90° 50° 40° 60° 70° 60° 90° 120° 80° 40° 50° 20° 50° 40° Find the measures of the arcs: x + 2x + 20 + 3x - 40 + 4x - 20 = 360 10x - 40 = 360 10x = 400 x = 40 140° © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia