# Arcs And Chords

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Arcs and ChordsWarm Up1. What percent of 30 is 5?2. What number is 24% of 50?3. Find m YVX.Holt McDougal Geometry

Arcs and ChordsObjectivesEQ: How do you apply properties ofarcs and chords?Unit 4A Day 4Holt McDougal Geometry

Arcs and ChordsVocabularycentral anglearcminor arcmajor arcsemicircleadjacent arcscongruent arcsYou need to add these terms to your “Circle Book.”Holt McDougal Geometry

Arcs and ChordsHolt McDougal Geometry

Arcs and ChordsExample 1a: Applying Congruent Angles, Arcs, andChordsTV WS. Find mWS.TV WSmTV mWS9n – 11 7n 11 chords have arcs.Def. of arcsSubstitute the given measures.Subtract 7n and add 11 to both sides.2n 22Divide both sides by 2.n 11mWS 7(11) 11 Substitute 11 for n.Simplify. 88 Holt McDougal Geometry

Arcs and ChordsExample 1b: 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 1b 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 1cPT 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 1dFind 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 ySubstitute 4 for y.CD 25(4)mCD 100 Holt McDougal GeometrySimplify.

Arcs and ChordsHolt McDougal Geometry

Arcs and ChordsExample 2: 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 2aFind 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 ChordsAssignment: WorksheetHolt McDougal Geometry

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 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

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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

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

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

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