10.3 Inscribed Angles. Definitions Inscribed Angle – An angle whose vertex is on a circle and whose sides contain chords of the circle Intercepted Arc.

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

Angles in a Circle Keystone Geometry

Bellwork  A 10 foot piece of wire is cut into two pieces. One piece is bent to form a square. The other forms a circle inscribed in the square. How long.

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.

12.3 Inscribed Angles. Using Inscribed Angles An inscribed angle is an angle whose vertex is on a circle and whose sides contain chords of the circle.

Section 10.3 Inscribed Angles Geometry April 10, 2004.

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,

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

11-3 Inscribed Angles Objective: To find the measure of an inscribed angle.

10.4.  Inscribed Angle: an angle that has a vertex on the circle. The sides of the angles are chords.  Intercepted Arc: the arc that is contained in.

Section 10.3 – Inscribed Angles

Chapter 12.3 Inscribed Angles

Geometry Section 10-4 Use Inscribed Angles and Polygons.

Warm-Up Find the area of the shaded region. 10m 140°

Chapter 10.4 Notes: Use Inscribed Angles and Polygons

Arcs & Angles Chapter 10. Draw & Label Central Angle Minor Arc Major Arc k.

9.4 Inscribed Angles Geometry. Objectives/Assignment Use inscribed angles to solve problems. Use properties of inscribed polygons.

10.4 Inscribed Angles 5/7/2010. Using Inscribed Angles An inscribed angle is an angle whose vertex is on a circle and whose sides contain chords of the.

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

11-3 Inscribed Angles Learning Target: I can solve problems using inscribed angles. Goal 2.03.

Inscribed Angles 10.3 California State Standards

Warm Up Week 1. Section 10.3 Day 1 I will use inscribed angles to solve problems. Inscribed Angles An angle whose vertex is on a circle and whose.

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

12.3 Inscribed Angles An angle whose vertex is on the circle and whose sides are chords of the circle is an inscribed angle. An arc with endpoints on the.

Section 10.3 Inscribed Angles. Inscribed Angle An angle whose vertex is on a circle and whose sides contain chords of the circle Inscribed Angle.

Inscribed Angles Inscribed Angles – An angle that has its vertex on the circle and its sides contained in chords of the circle. Intercepted – An angle.

Inscribed Angles Section 9-5. Inscribed Angles An angle whose vertex is on a circle and whose sides contain chords of the circle.

11-2 Chords & Arcs 11-3 Inscribed Angles

Inscribed Angles Using Inscribed Angles An inscribed angle is an angle whose vertex is on a circle and whose sides contain chords of the circle.

9-4 Inscribed Angles Objectives: To recognize and find measures of inscribed angles. To find properties of inscribed angles.

Inscribed angles [11.3] Objectives Students will be able to… Find the measure of an inscribed angle Find the measures of an angle formed by a tangent and.

Inscribed Angle: An angle whose vertex is on the circle and whose sides are chords of the circle INTERCEPTED ARC INSCRIBED ANGLE.

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.

11.3: INSCRIBED ANGLES Objectives: Students will be able to… Apply the relationship between an inscribed angle and the arc it intercepts Find the measures.

Inscribed Angles Inscribed angles have a vertex on the circle and sides contain chords of the circle.

Section 9-5 Inscribed Angles. Inscribed angles An angle whose vertex is on a circle and whose sides contain chords of the circle. A B C D are 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.

Geometry Section 10.3 Inscribed Angles. Recall that a *central angle is an angle What is the relationship between a central angle and the are that it.

GEOMETRY INSCRIBED ANGLES Unit 6-2. Central angles A __________ ____________ is an angle whose vertex is at the center of a circle with sides that are.

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

Geometry 11-4 Inscribed Angles

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

12-3 Inscribed Angles.

10-4 Inscribed Angles The student will be able to:

Lesson 8-5: Angle Formulas

Warm-Up Determine whether arc is a major or minor arc.

Lesson 8-5: Angle Formulas

Module 19: Lesson 1 Central Angles & Inscribed Angles

Lesson 8-5: Angle Formulas

Section 10.3 – Inscribed Angles

Inscribed Angles and Quadrilaterals

Lesson 8-5: Angle Formulas

Lesson 8-5: Angle Formulas

Chapter 9 Section-5 Segments Angles &.

12.3 Inscribed Angles.

Inscribed Angle: An angle whose vertex is on the circle and whose sides are chords of the circle

9-5 Inscribed Angles.

_____________: An angle whose vertex is on the circle and whose sides are chords of the circle

Circles and inscribed angles

Lesson 8-5: Angle Formulas

Lesson 8-5: Angle Formulas

Section 10.4 Use Inscribed Angles And Polygons Standard:

10.4 Inscribed Angles.

Presentation transcript:

10.3 Inscribed Angles

Definitions Inscribed Angle – An angle whose vertex is on a circle and whose sides contain chords of the circle Intercepted Arc – the arc that lies in the interior of an inscribed angle and has endpoints on the angle (arc AB)

Theorems 1.If an angle is inscribed in a circle, then its measure is half the measure of the intercepted arc. m < APB = ½ AB m < APB = 60

Theorems 2.If two inscribed angles of a circle intercept the same arc, then the angles are congruent. m<DCR = m<RAD

Theorems 3.If a right triangle is inscribed in a circle, then the hypotenuse is a diameter of the circle.

Last Theorem!!!! 4. A quadrilateral can be inscribed in a circle if and only if its opposite sides are supplementary.

Examples 1.Find the measure of arc TR Find the m<DIS 21

Last Example 3. Find the measure of angle D and angle W

Homework P all