15.5 Angle Relationships in Circles

Slides:

Advertisements

Similar presentations

Other Angle Relationships in Circles Section 10.4

Advertisements

Classifying Angles with Circles

Secants, Tangents, & Angle Measures Section 10-6.

Angles Formed by Tangents, Chords, and Secants

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.

Other Angle Relationships

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,

Apply Other Angle Relationships in Circles

Other Angles in Circles 10.4 California State Standards 7: Prove/use theorems involving circles. 21: Prove/solve relationships with circles.

Geometry Section 10.4 Angles Formed by Secants and Tangents

Formulas for Angles in Circles

Secants, Tangents, and Angle Measures

10.4: Angles formed by Secants and Tangents Obj: ______________________ __________________________.

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.

Other Angle Relationships in Circles

10.5 – Apply Other Angle Relationships in Circles.

Arcs and Angles Continued

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.

Secants, Tangents and Angle Measures. Definition - Secant.

10.5 Segment Lengths in Circles

WARM UP 1) 2). Section 9.6 Other Angles OTHER Angles in a Circle You know two types of Angles: –Central angles –Inscribed angles FOUR OTHER TYPES 1)

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.

CHORDS, SECANTS, & TANGENTS (ANGLE MEASURES) Know and apply properties of a circle to solve problems and logically justify results.

6.5 Apply other Angle Relationships in Circles

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.

Segment Lengths in Circles 10.5 Chapter 10 Circles Section 10.5 Segment Lengths in Circles Find the lengths of segments of chords. Find the lengths of.

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.

GEOMETRY: Chapter : Other Relationships in Circles.

Angle Relationships in circles

10.5 Apply Other Angle Relationships in Circles

Other Angle Relationships in Circles

Geometry Chapter 10 Section 6

Secants, Tangents, & Angle Measures

Module 19: Lesson 5 Angle Relationships in Circles

10.6 Secants, Tangents, and Angle Measures

Section 10.5 Angles in Circles.

Lesson: Angle Measures and Segment Lengths in Circles

11.4 Angle Measures and Segment Lengths

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.

Chapter 10.5 Notes: Apply Other Angle Relationships in Circles

10-6: Secants, Tangents, and Angle Measures

9-6 Other Angles.

Circles – Modules 15.5 Materials: Notes Textbook.

Secant-Secant Angles Interior Secant Angle – An angle formed when two secants intersect inside a circle. Theorem A secant angle whose vertex is inside.

Angles Related to a Circle

Apply Other Angle Relationships

Secants, Tangents, and Angle Measure

Angles in Circle Notes Unit 5 Day 2.

10.5 Angle Relationships in Circles

Warm-up #2 ( Find x and m AD B 72o A C 9xo D.

Section 10.4 Other Angle Relationships in Circles

Unit 9 – Circles Acc. Alg/Geo A

Section 10.4 – Other Angle Relationships in Circles

Angles Related to a Circle

Chapter 9 Section-6 Angles Other.

11-5: Angle Relationships in Circles

10.5 Other Angle Relationships in Circles

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

Angle Measure & Segment Lengths

LESSON LESSON PART I ANGLE MEASURES

Secants, Tangents, and Angle Measures

10.5 Apply Other ∡ Relationship in ⊙s

Presentation transcript:

15.5 Angle Relationships in Circles What are the relationships between angles formed by lines that intersect a circle?

Angle = ½ (the angle’s arc + the vertical angle’s arc)

Find the unknown measure. 2. 1.

Angle = ½ (Big Arc – Little Arc) Tangent & Secant Line 2 Tangent Lines 2 Secant Lines Angle = ½ (Big Arc – Little Arc)

Find the value of x for each. 2. 1. 3.

Tear out page 823 and circle the following problems: 5 & 6 Tear out pages 836-837 and circle the following problems: 3-6, 11-13

p. 823 y=6, DE=7, FG=8 X=4.2, JL=14.2, MN=13 p. 836 64.5 107.5 135 94 57.5 40 18