Warm Up Determine the measures of the indicated angles. 1.2. Now put it all together to solve for the missing angle.

Slides:

Advertisements

Similar presentations

Definitions A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. Radius – the distance.

Advertisements

Definitions A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. Radius – the distance.

Circles Chapter 10.

1 Lesson 6.3 Inscribed Angles and their Intercepted Arcs Goal 1 Using Inscribed Angles Goal 2 Using Properties of Inscribed Angles.

Ch 11 mini Unit. LearningTarget 11-1 Tangents I can use tangents to a circle to find missing values in figures.

In your own words…… What is it called when we find the “space” inside a circle? What is the formula used to find the “space”? What is it called when we.

Warm Up Determine the measures of the indicated angles Now put it all together to solve for the missing angle.

Tangents to Circles (with Circle Review)

10.1 Tangents to Circles Circle: the set of all points in a plane that are equidistant from a given point. Center: the point from which all points of.

By Greg Wood. Introduction  Chapter 13 covers the theorems dealing with cyclic polygons, special line segments in triangles, and inscribed & circumscribed.

Objectives: Discover points of concurrency in triangles. Draw the inscribed and circumscribed circles of triangles. Warm-Up: How many times can you subtract.

Geometry Inscribed Angles August 24, 2015 Goals  Know what an inscribed angle is.  Find the measure of an inscribed angle.  Solve problems using inscribed.

10.3 Inscribed Angles Goal 1: Use inscribed angles to solve problems Goal 2: Use properties of inscribed polygons CAS 4, 7, 16, 21.

Inscribed Angles Section 10.5.

Concurrent Lines Geometry Mrs. King Unit 4, Day 7.

6.4 Use Inscribed Angles and Polygons Quiz: Friday.

Warm – up 2. Inscribed Angles Section 6.4 Standards MM2G3. Students will understand the properties of circles. b. Understand and use properties of central,

1 Sect Inscribed Angles Goal 1 Using Inscribed Angles Goal 2 Using Properties of Inscribed Angles.

10.4 Use Inscribed Angles and Polygons. Inscribed Angles = ½ the Measure of the Intercepted Arc 90 ̊ 45 ̊

Section 10.3 – Inscribed Angles

Geometry Section 10-4 Use Inscribed Angles and Polygons.

Chapter 10.4 Notes: Use Inscribed Angles and Polygons

Inscribed Angles By the end of today, you will know what an inscribed angle is and how to find its measure.

Warm up. P A B Case I: Central Angle: Vertex is AT the center 

Inscribed Angles 10.3 California State Standards

6.3 – 6.4 Properties of Chords and Inscribed Angles.

Circle GEOMETRY Radius (or Radii for plural) The segment joining the center of a circle to a point on the circle. Example: OA.

Bell work 1 Find the measure of Arc ABC, if Arc AB = 3x, Arc BC = (x + 80º), and __ __ AB BC AB  BC AB = 3x º A B C BC = ( x + 80 º )

Lesson 8-5: Angle Formulas 1 Bell Ringer 5/27/2010 Find the value of x.

Inscribed Angles Section 10.3 Goal: To use inscribed angles to solve problems To use properties of inscribed polygons.

Have your homework out and be ready to discuss any questions you had. Wednesday, February 6, 2013 Agenda No TISK or MM HW Questions (9-2 & 9-3) Lesson.

1 1/3/13 Unit 4 Polygons and Circles Angle Formulas.

Day 4 agenda Go over homework- 5 min Warm-up- 10 min 5.3 notes- 55 min Start homework- 20 min The students will practice what they learned in the computer.

Chapter 5.3 Concurrent Lines, Medians, and Altitudes

Lesson 8-1: Circle Terminology

5-3 Bisectors in Triangles

9-5 Tangents Objectives: To recognize tangents and use properties of tangents.

Bisectors in Triangles Chapter 5 Section 3. Objective Students will identify properties of perpendicular bisectors and angle bisectors.

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

Friday-Chapter 6 Quiz 2 on

Chapter 10 Circles – 5 10 – 6.

Inscribed and Circumscribed Polygons Inscribed n If all of the vertices of a polygon lie on the circle, then the polygon is inscribed.

Inscribed Angles By the end of today, you will know what an inscribed angle is and how to find its measure.

10.3 Inscribed Angles Intercepted arc. Definition of Inscribed Angles An Inscribed angle is an angle with its vertex on the circle.

Section 10-3 Inscribed Angles. Inscribed angles An angle whose vertex is on a circle and whose sides contain chords of the circle. A B D is an inscribed.

Use Inscribed Angles and Polygons Lesson Definitions/Theorem 10.7 BAC = ½(BC) Intercepted Arc Inscribed Angle A B C. Central Angle.

Chapter 5 Lesson 3 Objective: Objective: To identify properties of perpendicular and angle bisectors.

PROPERTIES OF CIRCLES Chapter – Use Properties of Tangents Circle Set of all points in a plan that are equidistant from a given point called.

Topic 12-3 Definition Secant – a line that intersects a circle in two points.

Circle Unit Part 4 Angles

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

5.3 Notes Bisectors in Triangles. Concurrent When three or more lines intersect at one point, they are concurrent The point at which they intersect is.

5.2 Bisectors of Triangles Guiding Question: How can an event planner use perpendicular bisectors of triangles to find the best location for a firework.

Inscribed Angles By the end of today, you will know what an inscribed angle is and how to find its measure.

Lesson 19.2 and 19.3.

Lesson 15.3 Materials: Notes Textbook.

10.7 Inscribed and Circumscribed Polygons

10.7 Inscribed and Circumscribed Polygons

Warm Up Determine the measures of the indicated angles

Section 6.2 More Angle Measures in a Circle

WELCOME Math 2 Last Night’s HW: None Chapter 9: Circles

Section 10.3 – Inscribed Angles

Section 10.4 Use Inscribed Angles And Polygons Standard:

Standards: 7.0 Students prove and use theorems involving the properties of parallel lines cut by a transversal, the properties of quadrilaterals, and the.

Essential Question Standard: 21 What are some properties of

10.4 Inscribed Angles.

Presentation transcript:

Warm Up Determine the measures of the indicated angles Now put it all together to solve for the missing angle.

Unit 6 – Day 3 Inscribed and Circumscribed

Today’s Objectives Students will use properties of Central angles and Tangent lines to solve for missing parts Students will define inscribed and circumscribed polygons Students will explore properties of Inscribed and Circumscribed Triangles and Quadrilaterals

Using Properties of Central Angles and Tangent Lines Things to remember: Radius and Tangent form a _______ angle. We can use ___________________ Theorem for Right Triangles: Use the properties of Tangent Lines, Central Angles, and Inscribed Angles to solve for the missing parts

Defining Inscribed and Circumscribed Polygons Guided Notes Definitions Inscribed: A polygon is inscribed in a circle if all of the vertices lie on the circle. Circumscribed: A polygon is circumscribed about a circle if each side is tangent to the circle.

Exploration Use the properties of inscribed angles to find the missing angles Given: m ∠ ADC=60˚, mBC=40˚and mCD=110˚, find m ∠ ABC. Then find m ∠ BCD and m ∠ DAB m ∠ ABC =_________ m ∠ BCD =_________ m ∠ DAB =_________ What do you notice about opposite angles in the quadrilateral? – Supplementary About the sum of all angles? – 360º Therefore, opposite angles of an inscribed quadrilateral are supplementary!

Inscribed or Circumscribed? Describe the relationship between the polygon and the circle using “inscribed” and “circumscribed”?

Inscribed or Circumscribed? Describe the relationship between the polygon and the circle using “inscribed” and “circumscribed”?

Inscribed or Circumscribed? Describe the relationship between the polygon and the circle using “inscribed” and “circumscribed”?

Relationships Triangle Inscribed in a Circle 7 Triangle Circumscribed about a Circle 5

Centers The center of inscribed circle of a triangle is the intersection of the angle bisectors. The center of a circumscribed circle of a triangle is the intersection of the perpendicular bisectors.

Homework