10-6: Secants, Tangents, and Angle Measures

Slides:

Advertisements

Similar presentations

Other Angle Relationships in Circles Section 10.4

Advertisements

Classifying Angles with Circles

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

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

Geometry Section 10.4 Angles Formed by Secants and Tangents

Formulas for Angles in Circles

Secants, Tangents and Angle Measures

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.

Tangents to CirclesCircles Secants and Tangents Secant 2 points of intersection Tangent 1 point of intersection Point of Tangency.

Secants and Tangents Not Your Average Lesson. Secants Imagine being on the top of a roller coaster and the idiot next to you spits his/her gum over the.

Warm up X = 6 X = 5.4 X = 20.8 X = 5X = 10. A little extra information ♥The word tangent comes from the Latin word meaning to touch ♥The word secant comes.

Secants, Tangents and Angle Measures. Definition - Secant.

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)

Sec. 12 – 4  Measures & Segment Lengths in Circles.

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.

CIRCLES 1 Moody Mathematics. VOCABULARY: Identify the name of the object pictured in each frame. VOCABULARY: Identify the name of the object pictured.

Inscribed Angles December 3, What is an inscribed angle? An inscribed angle is an angle whose vertex is on a circle and whose sides contain chords.

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.

11-4 Angle Measures and Segment Lengths Learning Target: I can find angle measures and segment lengths. Goal 2.03.

Sec. 12 – 4  Measures & Segment Lengths in Circles Objectives: 1) To find the measures of  s formed by chords, secants, & tangents. 2) To find the lengths.

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

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.

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

Lesson 10.6 – Secants, Tangents, and Angle Measure

Section 10.5 Angles in Circles.

11.4 Angle Measures and Segment Lengths

12-4 Angle Measures and Segment Lengths

Other Angle Relationships in Circles

Lesson 19.2 and 19.3.

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.

Angle Measures and Segment Lengths in Circles

15.5 Angle Relationships in Circles

Chapter 10.5 Notes: Apply Other Angle Relationships in Circles

9-6 Other Angles.

Circles – Modules 15.5 Materials: Notes Textbook.

Segment Lengths in Circles

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

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.

Secants, Tangents and Angle Measures

Angle Measure & Segment Lengths

LESSON LESSON PART I ANGLE MEASURES

Secants, Tangents, and Angle Measures

Presentation transcript:

10-6: Secants, Tangents, and Angle Measures

Secant – a line that intersects a circle at two points.

Intersections inside a circle (angles): When two lines intersect inside a circle, the angles are an average of the opposite arcs. m<1= ½ (mCD+mAB)

Find the measure of numbered angle if mKL=47° and mNM=88°.

Intersections on circle: If a tangent and a secant intersect at the point of tangency. The angle formed is ½ of the intercepted arc.

Intersections outside circles (angles): X= ½ (big arc – small arc)

Find each missing variable

Find m<A

Assignment: p. 564; 12-33all