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
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.
10.5 Inscribed Angles. An inscribed angle is an angle whose vertex is on a circle and whose sides are determined by two chords. Intercepted arc: the arc.
Geometry Section 10.4 Angles Formed by Secants and Tangents
Formulas for Angles in Circles
Secants, Tangents, and Angle Measures
Angles Related to a Circle Lesson Angles with Vertices on a Circle Inscribed Angle: an angle whose vertex is on a circle and whose sides are determined.
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.
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.
CIRCLES 1 Moody Mathematics. VOCABULARY: Identify the name of the object pictured in each frame. VOCABULARY: Identify the name of the object pictured.
Other Angle Relationships in Circles
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.
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.
Apply other angle relationships in circles
10.5 Apply Other Angle Relationships in Circles
Other Angle Relationships in Circles
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
Other Angle Relationships in Circles
Topic 12-4.
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
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.
Day 3.
Angles Related to a Circle
Apply Other Angle Relationships
Secants, Tangents, and Angle Measure
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
Segment Lengths in Circles
Notes 12.3/12.4 (Angles) Learning Targets:
Chapter 9 Section-6 Angles Other.
10.5 Other Angle Relationships in Circles
Unit 3: Circles & Spheres
Angle Measure & Segment Lengths
LESSON LESSON PART I ANGLE MEASURES
Secants, Tangents, and Angle Measures
6.5 Apply Other Angle Relationships in Circles
10.5 Apply Other ∡ Relationship in ⊙s
Chapter 10 Circles.
Presentation transcript:

Angle Relationships in circles

If a tangent and a chord intersect, then the measure of the angle is ½ the arc. 113 * 2 = 226 90 * 2 = 180 164/2 = 82

If 2 chords intersect, then each angle is ½ the sum of the arc and its vertical angle. To find x: To find y: 85 + 57 = 142 148 + 70 = 218 142/2 = 71 218/2 = 109

If tangents and secants intersect outside the circle, then the angle is ½ the difference of the arcs. 175 – 35 = 140 115 – 25 = 90 140/2 = 70 90/2 = 45

A little more challenging First find arc 1 170 + 134 = 304 134 - 56 = 78 360 – 304 = 56 78/2 = 39 arc 1 = 56