Aim: How do we find the measurement of angles formed by tangent, secants, and chords? Homework: Workbook pg 368 – 369 #’s 1, 4, 6, 7a Do now: find the.

Slides:

Advertisements

Similar presentations

Other Angle Relationships in Circles Section 10.4

Advertisements

Classifying Angles with Circles

A chord that goes through the center of a circle

10.1 Tangents to Circles.

Tangents, Arcs, and Chords

CIRCLES 2 Moody Mathematics.

Angles in a Circle Keystone Geometry

LESSON A: DEFINING CIRCLES & THEIR PARTS

Geometry Section 10.4 Angles Formed by Secants and Tangents

Unit 6 Day 1 Circle Vocabulary. In your pairs look up the definitions for your vocabulary words.

Formulas for Angles in Circles

Secants, Tangents, and Angle Measures

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

B D O A C Aim: What is a circle? Homework: Workbook page 370

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.

Arcs and Angles Continued

Geometry Honors Section 9.3 Arcs and Inscribed Angles

Tangents, Arcs and chords, basic terms Section 9-1.

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

Pg 651. A chord is a line segment with each endpoint on the circle A diameter is a chord that passes through the center of the circle. A secant of a circle.

The Many Parts of a Circle A B T Secant Tangent Chord.

Circles Chapter 12.

Circle Proofs Allie Buksha Geometry Mr. Chester.

Circles Definitions. Infinite Unity No beginning No end Continuous The perfect shape.

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

Inscribed Angles. Inscribed Angles and Central Angles A Central angle has a vertex that lies in the center of a circle. A n inscribed angle has a vertex.

11.1 Angles and Circles Learning Objective: To identify types of arcs and angles in a circle and to find the measures of arcs and angles. Warm-up (IN)

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

A radius drawn to a tangent at the point of tangency is perpendicular to the tangent. l C T Line l is tangent to Circle C at point T. CT  l at T.

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.

Circles Modified by Lisa Palen. Definitions Circle The CENTER of the circle is the point that is the same distance to every point on the circle. The distance.

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.

Chapter 9 Circles (page 328) How can relationships in a circle allow you to solve problems involving segments, angles, and arcs?

Objectives: To use the relationship between a radius and a tangent To use the relationship between two tangents from one point.

Chapter 7 Circles. Circle – the set of all points in a plane at a given distance from a given point in the plane. Named by the center. Radius – a segment.

Tangent and Chord Properties

Circles Vocabulary.

Angle Relationships in circles

Other Angle Relationships in Circles

Section 9-1 Basic Terms.

Circles Definitions.

Module 19: Lesson 5 Angle Relationships in Circles

Section 10.5 Angles in Circles.

Lesson: Angle Measures and Segment Lengths in Circles

Other Angle Relationships in Circles

Lesson 19.2 and 19.3.

8-5 Angles in Circles Welcome everyone!.

Chapter 10.5 Notes: Apply Other Angle Relationships in Circles

Tangent and Chord Properties

Circle Unit Notes AA1 CC.

Tangent and Chord Properties

Warm-Up #33 3. Find x. 1. What is the perimeter of a regular hexagon if one of the side is 10 inches. 2. Find x X = 36 degrees Perimeter = 60 units X =

9-6 Other Angles.

Angles Related to a Circle

Lesson 8-1: Circle Terminology

Unit 6 Day 1 Circle Vocabulary.

Secants, Tangents, and Angle Measure

Angles in Circle Notes Unit 5 Day 2.

Unit 9 – Circles Acc. Alg/Geo A

Section 10.4 – Other Angle Relationships in Circles

Angles Related to a Circle

CIRCLES OBJECTIVE: Learn the basic terminology for circles and lines and segments associated with circles.

Lesson 8-1: Circle Terminology

Unit 6 Day 1 Circle Vocabulary.

Secants, Tangents, and Angle Measures

Inscribed Angles.

6.5 Apply Other Angle Relationships in Circles

Presentation transcript:

Aim: How do we find the measurement of angles formed by tangent, secants, and chords? Homework: Workbook pg 368 – 369 #’s 1, 4, 6, 7a Do now: find the value of x

Definitions Sectants - A line that intersects a circle at two points. Tangents – A line that intersects a circle at one point. Point of tangency - The point of a circle or sphere with a tangent line or plane. Chords – A line that goes from one point on the circle to another point on the circle.

Definitions continued Central angle - A central angle is an angle formed by two intersecting radii such that its vertex is at the center of the circle. Inscribed angle - An inscribed angle is an angle with its vertex "on" the circle, formed by two intersecting chords. Cross chord angles – two chords that intersect to form four angles in which two pairs are congruent.

Sum of Intercepted Arcs Solve the problems Sum of Intercepted Arcs