11-2 Chords & Arcs 11-3 Inscribed Angles

Slides:

Advertisements

Similar presentations

Circle. Circle Circle Tangent Theorem 11-1 If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of.

Advertisements

Circles and Chords. Vocabulary A chord is a segment that joins two points of the circle. A diameter is a chord that contains the center of the circle.

Geometry Arcs and Chords September 13, 2015 Goals  Identify arcs & chords in circles  Compute arc measures and angle measures.

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.

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°

StatementReason 1. Given 2. Chords that intercept congruent arcs are congruent Example 1 3. All radii of a circle are congruent.

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

10.3 Arcs and Chords If two chords are congruent, then their arcs are also congruent Inscribed quadrilaterals: the opposite angles are supplementary If.

Circles Chapter 9. Tangent Lines (9-1) A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point. The.

6.3 – 6.4 Properties of Chords and Inscribed Angles.

Circles Chapter 12.

Circle Properties - Ch 6 Chord Central Angles Conjecture If two chords in a circle are congruent, then they determine two central angles that are…....congruent.

Section 10.1 Theorem 74- If a radius is perpendicular to a chord, then it bisects the chord Theorem 74- If a radius is perpendicular to a chord, then it.

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.

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.

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.

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

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.

Sect Inscribed Angles Geometry Honors. What and Why What? – Find the measure of inscribed angles and the arcs they intercept. Why? – To use the.

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.

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 Section inscribed angle – an angle whose vertex is on the circle and whose sides each contain chords of the circle. ADC is an inscribed.

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.

Geometry 10.4 Inscribed Angles. Vocabulary Inscribed Angle Intercepted Arc B A C.

12.2 Chords and Arcs Theorem 12.4 and Its Converse Theorem –

11-2 Chords and Arcs  Theorems: 11-4, 11-5, 11-6, 11-7, 11-8  Vocabulary: Chord.

9-3 Arcs and Chords Objectives: To recognize and use relationships among arcs, chords, and diameters.

Geometry/Trig 2Name: __________________________ Fill In Notes – 9.4 Chords and Arcs Date: ___________________________ Arcs can be formed by figures other.

Objective: Measures of Inscribed Angles & Inscribed Polygons. (3.12.3) Section 10.4.

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

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.

 A circle is defined by it’s center and all points equally distant from that center.  You name a circle according to it’s center point.  The radius.

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.

Section 10-2 Arcs and Central Angles. Theorem 10-4 In the same circle or in congruent circles, two minor arcs are congruent if and only if their corresponding.

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.

Goal 1: To use congruent chords, arcs, and central angles Goal 2: To recognize properties of lines through the center of a circle Check Skills You’ll Need.

Lesson 10-3: Arcs and Chords

12.2 Chords and Arcs.

Section 10.4 Arcs and Chords.

Assignment 1: 10.3 WB Pg. 127 #1 – 14 all

Tangent of a Circle Theorem

Geometry 11-4 Inscribed Angles

7-3 Arcs and Chords Objectives:

12-3 Inscribed Angles.

11-3 Inscribed Angles Theorems: Inscribed Angle Theorem, 11-10

Geometry 9.5 Inscribed Angles.

Section 10.2 Arcs and Chords.

Bellringer Have Worksheet from Monday (plus p. 767 #6 – 8, 18 – 19 on back) and Notes out on your Desk Work on p. 779 #44 – 45.

Chapter 9 Section-5 Segments Angles &.

12.3 Inscribed Angles.

9-5 Inscribed Angles.

Circles and inscribed angles

12.2 Chords & Arcs.

Lesson 8-4: Arcs and Chords

Inscribed Angles.

Lesson 10-3: Arcs and Chords

Section 10.2 Arcs and Chords.

Presentation transcript:

11-2 Chords & Arcs 11-3 Inscribed Angles

Theorems

Theorems If chords are congruent, then they are equidistant from the center of the circle.

Theorems If the diameter is perpendicular to a chord, then it bisects the chord and its arcs. The perpendicular bisector of a chord contains the center of the circle.

Examples 1)Find AB. 2) Find AB & AO.

Vocabulary & Theorems Inscribed Angle – angle whose vertex is on the circle. Two inscribed angles intercept the same arc then they are congruent.

Theorems An angle inscribed in a semicircle is a right angle. Opposite angles of a quadrilateral inscribed in a circle are supplementary. An angle inscribed in a semicircle is a right angle.

Examples 1) Find the numbered angles. 2) Find x and y.