Arcs And Chords Arcs And Chords
ArcsArcsandandChordsChordsWarm UpLesson PresentationLesson QuizHoltMcDougalGeometryGeometryHolt
Arcs and ChordsWarm Up1. What percent of 60 is 18? 302. What number is 44% of 6? 2.643. Find m WVX.104.4 Holt McDougal Geometry
Arcs and ChordsObjectivesApply properties of arcs.Apply properties of chords.Holt McDougal Geometry
Arcs and ChordsVocabularycentral anglearcminor arcmajor arcHolt McDougal Geometrysemicircleadjacent arcscongruent arcs
Arcs and ChordsA central angle is an angle whosevertex is the center of a circle. An arc isan unbroken part of a circle consisting oftwo points called the endpoints and allthe points on the circle between them.Holt McDougal Geometry
Arcs and ChordsHolt McDougal Geometry
Arcs and ChordsWriting MathMinor arcs may be named by two points. Major arcsand semicircles must be named by three points.Holt McDougal Geometry
Arcs and ChordsExample 1: Data ApplicationThe circle graph shows the types of grassplanted in the yards of one neighborhood.Find mKLF.mKLF 360 – m KJFm KJF 0.35(360 ) 126 mKLF 360 – 126 234 Holt McDougal Geometry
Arcs and ChordsCheck It Out! Example 1Use the graph to find each ofthe following.a. m FMCm FMC 0.30(360 ) 108 Central is 30% of the .c. m EMD 0.10(360 )b. mAHB 360 – m AMBm AHB 360 – 0.25(360 ) 36 270 Holt McDougal GeometryCentral is 10% of the .
Arcs and ChordsAdjacent arcs are arcs of the samecircle that intersect at exactly one point.RS and ST are adjacent arcs.Holt McDougal Geometry
Arcs and ChordsExample 2: Using the Arc Addition PostulateFind mBD.mBC 97.4 Vert. s Thm.m CFD 180 – (97.4 52 ) 30.6 mCD 30.6 mBD mBC mCD 97.4 30.6 128 Holt McDougal Geometry Sum Thm.m CFD 30.6 Arc Add. Post.Substitute.Simplify.
Arcs and ChordsCheck It Out! Example 2aFind each measure.mJKLm KPL 180 – (40 25) mKL 115 mJKL mJK mKL 25 115 Arc Add. Post.Substitute. 140 Simplify.Holt McDougal Geometry
Arcs and ChordsCheck It Out! Example 2bFind each measure.mLJNmLJN 360 – (40 25) 295 Holt McDougal Geometry
Arcs and ChordsWithin a circle or congruent circles,congruent arcs are two arcs that have thesame measure. In the figure ST UV.Holt McDougal Geometry
Arcs and ChordsHolt McDougal Geometry
Arcs and ChordsExample 3A: Applying Congruent Angles, Arcs, andChordsTV WS. Find mWS.TV WSmTV mWS9n – 11 7n 112n 22 chords have arcs.Def. of arcsSubstitute the given measures.Subtract 7n and add 11 to both sides.Divide both sides by 2.n 11mWS 7(11) 11 Substitute 11 for n.Simplify. 88 Holt McDougal Geometry
Arcs and ChordsExample 3B: Applying Congruent Angles, Arcs, andChords C J, and m GCD m NJM. Find NM.GD NM GCD NJMGD NM arcs have chords.GD NMDef. of chordsHolt McDougal Geometry
Arcs and ChordsExample 3B Continued C J, and m GCD m NJM. Find NM.14t – 26 5t 19t 27t 3NM 5(3) 1 16Holt McDougal GeometrySubstitute the given measures.Subtract 5t and add 26 to both sides.Divide both sides by 9.Substitute 3 for t.Simplify.
Arcs and ChordsCheck It Out! Example 3aPT bisects RPS. Find RT. RPT SPTmRT mTSRT TS6x 20 – 4x10x 20x 2RT 6(2)RT 12Holt McDougal GeometryAdd 4x to both sides.Divide both sides by 10.Substitute 2 for x.Simplify.
Arcs and ChordsCheck It Out! Example 3bFind each measure. A B, and CD EF. Find mCD. chords have arcs.mCD mEF25y (30y – 20) Substitute.Subtract 25y from both sides. Add20 5y20 to both sides.Divide both sides by 5.4 yCD 25(4)mCD 100 Holt McDougal GeometrySubstitute 4 for y.Simplify.
Arcs and ChordsHolt McDougal Geometry
Arcs and ChordsExample 4: Using Radii and ChordsFind NP.Step 1 Draw radius RN.RN 17Radii of a are .Step 2 Use the Pythagorean Theorem.SN2 RS2 RN2SN2 82 172SN2 225SN 15Substitute 8 for RS and 17 for RN.Subtract 82 from both sides.Take the square root of both sides.Step 3 Find NP.NP 2(15) 30Holt McDougal GeometryRM NP , so RM bisects NP.
Arcs and ChordsCheck It Out! Example 4Find QR to the nearest tenth.Step 1 Draw radius PQ.PQ 20Radii of a are .Step 2 Use the Pythagorean Theorem.TQ2 PT2 PQ2Substitute 10 for PT and 20 for PQ.TQ2 102 202Subtract 102 from both sides.TQ2 300TQ 17.3Take the square root of both sides.Step 3 Find QR.QR 2(17.3) 34.6Holt McDougal GeometryPS QR , so PS bisects QR.
Arcs and ChordsLesson Quiz: Part I1. The circle graph shows the types of cuisineavailable in a city. Find mTRQ.158.4 Holt McDougal Geometry
Arcs and ChordsLesson Quiz: Part IIFind each measure.2. NGH3. HL139 21Holt McDougal Geometry
Arcs and ChordsLesson Quiz: Part III4. T U, and AC 47.2. Find PL to thenearest tenth. 12.9Holt McDougal Geometry
Holt McDougal Geometry Arcs and Chords Example 3A: Applying Congruent Angles, Arcs, and Chords TV WS. Find mWS. 9n – 11 7n 11 2n 22 n 11 88 chords have arcs. Def. of arcs Substitute the given measures. Subtract 7n and add 11 to both sides. Divide both sides by 2. Substitute 11 for n. Simplify. mTV mWS mWS 7(11) 11
Use: Interactive Textbook, 12-2 670 12-2 1. Plan Objectives 1 To use congruent chords, arcs, and central angles 2 To recognize properties of lines through the center of a circle Examples 1 Using Theorem 12-4 2 Using Theorem 12-5 3 Using Diameters and Chords Math Background Theorem 12-8 can be used to prove the theorem of analytic geometry that .File Size: 619KBPage Count: 7Explore furtherDownload Free Practice 12 2 Chords And Arcs Answer Key .www.findanswerkey.com12-2 Practice Chords and Arcs - studyres.comstudyres.comCircles - Arcs and chords Worksheetswww.math-worksheet.orgUnit Circle Worksheet with Answers. Find angle based on .www.mathwarehouse.comCircles worksheet day #1 - Ms. Sullivan's Geometry Websitesullivangeometry.weebly.comRecommended to you based on what's popular Feedback
Holt McDougal Geometry Arcs and Chords Example 1a: Applying Congruent Angles, Arcs, and Chords TV WS. Find mWS. 9n – 11 7n 11 2n 22 n 11 88 chords have arcs. Def. of arcs Substitute the given measures. Subtract 7n and add 11 to both sides. Divide both sides by 2. Substitute 11 for n. Simplify. mTV mWS mWS 7(11) 11 TV WS
traveling from any town to any other town within the country. Problem 6. (a) A. circle is divided into 10 equal arcs. are joined in pairs by 5 chords. Is. it. these chords are of equal length? (b) A. circle is divided into 20 equal arcs. are joined in pairs by 10 chords. Is it these chords ar
The following lessons introduce some of the basics of jazz guitar chords. Topics include: 1. Some of the most common chord voicings used 2. Intervals 3. Triads 4. Seventh Chords, Drop 2 and Drop 3 5. Extensions and Sus chords 6. Quartal Chords 7. Freddie Green Style 8. Sample Comping Rhythms 9. Bossa Nova Style 10. Chords with Bass Line
The green octave: Low string chords (C2-B2) Major & Minor chords triggered by velocity The blue octave: Low, Mid, High chords played together (C1-B1) Major & Minor chords triggered by velocity Dynamics: The mod wheel gives you further possibilities to adjust the dynamics and enables you to mix sustain and tremolo chords.
BARRE CHORDS FOR THE GUITAR by DON COMANDA FOREWORD Following are over 1,700 chords. Barre chords are shown throughout except in cases where a Barre chord would give too “thick” a sound. A quick reference section is included showing major, minor, and dominant seventh chords. Similarly fingered chords appear with different names.
The L-Acoustics ARCS stand can hold up to four L-Acoustics ARCS Wide, L-Acoustics ARCS Focus, or a combination of the two, when used vertically. When deployed vertically, the L-Acoustics ARCS mounting table can be titled downwards at angles of 15 to 30 , 45 or 60 from the original angle. L-Acoustics ARCS Wide / Focus Color: RAL 7035 BP1000
day I am going to buy a car just like that.'' He thei1 explained : ''You see, mister, Harm can't waJk. I go downtow11. and look at' all e nice Tiiii;-J(S in the store window, and come home and try tc, tell Harry what it is all about, but r tell it very good. Some day J am going to make
