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

Slides:

Advertisements

Similar presentations

Other Angle Relationships in Circles Section 10.4

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.

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,

Bellwork  One-half of the measure of an angle plus its supplement is equal to the measure of the angle. Find the measure of the angle  Solve for x 2x.

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

©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources.

~BINGO!~ The winner who says “BINGO” at the appropriate time will get a mystery prize!The winner who says “BINGO” at the appropriate time will get a mystery.

© 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.

10.2 Find Arc Measures & 10.4 Use Inscribed Angles and Polygons

Section 9-3 Arcs and central angles Central angle §An angle with its vertex at the center of the circle.

7.7 What More Can I Learn About Circles? Pg. 24 Angles Inside and Outside Circles.

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

©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia (MCC9-12.A.SSE.3c; MCC9-12.F.IF.7; MCC9-12.F.IF.7e; MCC9-12.F.IF.8b)

Lesson 1.4, 1.5 and 1.6: Adding, Subtracting, and Multiplying Integers Standards: NS 1.2 Objective: Use integer operationsBINGO!!

Inscribed Angle A measures _____ Arc BC measures _____ Central Angle measures _____.

Arc Length and Sector Area. How do we get the fraction in these formulas? How many degrees are in a circle? Fraction = (central angle/360)

© 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)

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

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

A.2 B.3 C.4 D.5 Refer to the figure. Find BC.. A.2 B.3 C.4 D.5 Refer to the figure. Find BC.

Standard Form Bingo. Use any 9 of these numbers

©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.

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,

Lesson 9-6 Other Angles (page 357) Essential Question How can relationships in a circle allow you to solve problems involving angles of a circle?

Section 10.4 Other Angle Relationships in Circles.

Apply other angle relationships in circles

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.

Model Multiplication Name: _______________________________

Lesson 10.6 – Secants, Tangents, and Angle Measure

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.

Objective: Review for test.

Directions: Read each question below. Circle the best answer.

Chapter 10.5 Notes: Apply Other Angle Relationships in Circles

Model Multiplication Name: _______________________________

9-6 Other Angles.

Solving Quadratics Bingo!

©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

different y-intercepts

Solving a System of Equations

Apply Other Angle Relationships

Limit BINGO (teacher scramble the slides)

Standard Form Bingo.

Angle relationships in circles.

Linear Regression Tongue Twister Lab Number of People

Example: If line AB is parallel to line CD and s is parallel to t, find the measure of all the angles when m< 1 = 100°. Justify your answers. t

10.5 Angle Relationships in Circles

Section 10.4 – Other Angle Relationships in Circles

Special Triangle Roadmaps

How to make a box and whisker plot

Solving a System of Equations

Radius drawn to a tangent

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

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

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

Solving a System of Equations

How to Solve Exponential Equations

= x 2 = = 20 4 x 5 = = 16 4 x 4 = = 18 6 x 3 = = 12 2 x 6 = 12.

Factoring a SUM of Cubes

More Angle-Arc Theorems

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

Think back to last lesson:

Chapter 10 Circles.

VOCABULARY BINGO Directions… Create your own BINGO CARD

Presentation transcript:

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Circle Angle Bingo! ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

~BINGO!~ The winner who says “BINGO” at the appropriate time will get a mystery prize! Anyone acting poorly will be disqualified.

Numbers Place the following numbers in any empty box. These numbers represent answers to problems about angle and arc relationships in, on, and outside of a circle. 7, 12, 29, 43, 48, 50, 51, 52, 56, 59, 60, 62, 64, 75, 76, 80, 88, 100, 105, 120, 134, 142, 150, 315, FREE

1. x 80o 280o

200° 84° x 2.

3. 50° 65° x

4. 75° x \

5. 160° 105° x \

6. 78° x \

7. x° x + 30° 127° 53° \

8. 128° 72° x $22,360

9. x 78o 204o

A 10. 87° D x B 65° C

Sum of arcs AB, BC, & CD 11. C B D \ 45° A

A 12. 175° D 140° x B C

A 13. 73 C 15 x B

14. A 64° x O C

15. 112 A C x B

16. (6x) N W L T (4x + 14)

17. F G x 86 H

18. A 128° x B C

A 19. 86° D x 12° B C

20. 67 x

21. E 132° A x 110° B C

22. \ x

23. A 120° x B C

24. (4x – 5 ) S R T (3x + 11)

Answer Key 1. 100 2. 142 3. 80 4. 150 5. 50 6. 51 7. 75 8. 88 9. 48 10. 76 11. 315 12. 105 13. 29 14. 64 15. 56 16. 7 17. 43 18. 52 19. 62 20. 134 21. 59 22. 120 23. 60 24. 12