1. 3x=x+50 2. y+5y+66=360 3. x+14x=180 4. a 2 +16=25 Note: A diameter is a chord but not all chords are diameters.

Slides:

Advertisements

Similar presentations

Circles. Parts of a Circle Circle A circle is the set of all points in a plane that are a given distance from a given point in the plane, called the.

Advertisements

Lesson 10.1 Parts of a Circle Today, we are going to…

A B Q Chord AB is 18. The radius of Circle Q is 15. How far is chord AB from the center of the circle? 9 15 (family!) 12 x.

Pg 603.  An angle whose vertex is the center of the circle.

12.2 Arcs and Chords.  Apply properties of Arcs  Apply properties of Chords.

Bell work Find the value of radius, x, if the diameter of a circle is 25 ft. 25 ft x.

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.

Sect Properties of Chords and Arcs Geometry Honors.

Unit 4: Arcs and Chords Keystone Geometry

TODAY IN GEOMETRY…  Warm Up: Major and Minor Arcs  Learning Target : 10.3 You will use relationships of arcs and chords in a circle.  Independent practice.

Apply Properties of Chords

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

Sect Arcs and Chords Goal 1 Using Arcs of Circles Goal 2 Using chords of Circles.

Chapter 10.3 Notes: Apply Properties of Chords

10.1 HW pg # 3-10, odd, 24, 27, G4. H5. C 6. E7. F8. A 9. B10. D

Circle Set of all points equidistant from a given point called the center. The man is the center of the circle created by the shark.

Chapter 10 Properties of Circles.

 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.

Circles. Points & Circle Relationships Inside the circle THE circle Outside the circle A C B E G F D.

10.2 Arcs and chords Pg 603. Central angle Central angle- angle whose vertex is the center of a circle A B C  ACB is a central angle.

Brain Buster 1. Draw 4 concentric circles

Lesson 6.2 Find Arc Measures

6.3 – 6.4 Properties of Chords and Inscribed Angles.

10.3 – Apply Properties of Chords

Circles, II Chords Arcs.

11-2 Chords & Arcs 11-3 Inscribed Angles

Radius diameter secant tangent chord Circle: set of all points in a plane equidistant from a fixed point called the center. Circle 4.1.

12.2 Chords and Arcs Theorem 12.4 and Its Converse Theorem –

Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: How do we use angle measures.

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

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

Lesson 10.2 Arcs and Chords. Arcs of Circles Central Angle-angle whose vertex is the center of the circle. central angle.

1. 3x=x y+5y+66= x+14x= a 2 +16=25 Note: A diameter is a chord but not all chords are diameters.

November 19,  A central angle of a circle is an angle with its vertex at the center of the circle.  The figurebelow illustrates.

Geometry Section 10-2 Find Arc Measures.

10.3 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Apply Properties of Chords.

Chapter 7 Lesson 6 Objective: To find the measures of central angles and arcs.

Section 10.2 – Arcs and Chords

Circles Chapter 10 Sections 10.1 –10.7.

Chapter 10 Circles – 5 10 – 6.

 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.

Arcs and Chords Theorem 10.2 In a circle or in congruent circles, two minor arcs are are congruent if and only if their corresponding chords are congruent.

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.

A B C D In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent. AB  CD if.

10.3 Apply Properties of Chords Hubarth Geometry.

Arcs and Chords Goal 1 Using Arcs of Circles

12.2 Chords and Arcs.

10.3 – Apply Properties of Chords

Unit 3: Circles & Spheres

Do Now 1.) Explain the difference between a chord and a secant.

Section 10.4 Arcs and Chords.

Review Tangents, plus Arcs, Central Angles and Chords

Chapter 10: Properties of Circles

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

Lesson 8-4: Arcs and Chords

Central angle Minor Arc Major Arc

Week 1 Warm Up Add theorem 2.1 here next year.

Section 10.2 Arcs and Chords.

10.2 Arcs and Chords.

11-2 Arcs and chords Geometry.

Properties of Chords.

Lesson 10-3: Arcs and Chords

Brain Buster 1. Draw a circle with r = 4 and center A.

52.5° 4 Brain Buster 32° ° 36.5° 1 105° 16°

12.2 Chords & Arcs.

Lesson 8-4: Arcs and Chords

Section 10.2 Arcs and Chords.

Presentation transcript:

1. 3x=x y+5y+66= x+14x= a 2 +16=25 Note: A diameter is a chord but not all chords are diameters

B central angle minor arcs AC CB minor arcs AC CB Major arcs ABC CAB Major arcs ABC CAB Semicircle ACB Semicircle ACB center diameter chord radius A C O

 The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs. mABC = mAB + mBC

 If the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.

1. 2. yes No Arcs AB and CD Arcs XY and ZW

 If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc.

 If one chord is a perpendicular bisector of another chord, then the first chord is a diameter.

 In the same circle, or in congruent circles, two chords are congruent iff they are equidistant from the center.

 Find the measure of each arc of A. a) BD b) BE c) BED

122 0 How to locate the center of the following circle using the chords shown.

Find the measurement of the central angle representing each category. List them from least to greatest ,32.4 0, , , 133,2 0

 ≈14.66 cm