Use the midpoint formula a find midpoint the

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Elementary and Intermediate Algebra
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Chapter 6 / Exercise 27
Elementary and Intermediate Algebra
Tussy/Gustafson
Expert Verified
Use the Midpoint Formulaa.FIND MIDPOINTThe endpoints of}RSareR(1,23) andS(4, 2). Findthe coordinates of the midpointM.b.FIND ENDPOINTThe midpoint of}JKisM(2, 1). One endpoint isJ(1, 4). Find the coordinates of endpointK.
KEY CONCEPTFor Your NotebookThe Distance FormulaIfA(x1,y1) andB(x2,y2) are points ina coordinate plane, then the distancebetweenAandBisAB5Ï}}(x22x1)21(y22y1)2.
C(x2,y1)A(x1,y1)B(x2,y2)zx22x1zzy22y1z
READ DIAGRAMSThe red mark at onecorner of the triangleshown indicates aright triangle.
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Elementary and Intermediate Algebra
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Chapter 6 / Exercise 27
Elementary and Intermediate Algebra
Tussy/Gustafson
Expert Verified
18Chapter 1Essentials of GeometryGUIDEDPRACTICEfor Example 45.In Example 4, does it matter which ordered pair you choose to substitutefor (x1,y1) and which ordered pair you choose to substitute for (x2,y2)?Explain.6.What is the approximate length of}AB, with endpointsA(23, 2) andB(1,24)?A6.1 unitsB7.2 unitsC8.5 unitsD10.0 unitsThe Distance Formula is based on thePythagorean Theorem,which you willsee again when you work with right triangles in Chapter 7.Distance FormulaPythagorean Theorem(AB)25(x22x1)21(y22y1)2c25a21b2C(x2,y1)A(x1,y1)B(x2,y2)zx22x1zzy22y1zxybcaEX AMPLE4TAKS PRACTICE: Multiple ChoiceSolutionRS5Ï}}(x22x1)21(y22y1)2Distance formula5Ï}}}[(21)23]21[(25)21]2Substitute.5Ï}}(24)21(26)2Subtract.5Ï}16136Evaluate powers.5Ï}52Add.ø7.21Use a calculator toapproximate thesquare root.cThe correct answer is D.A B CDWhat is the approximate length of}RS, with endpointsR(3, 1) andS(21,25)?A1.6 unitsB3.2 unitsC4.8 unitsD7.2 unitsyxS(21,25)11R(3, 1)ELIMINATE CHOICESDrawing a diagramcan help you eliminatewrong choices. Youcan see that choicesAandBare not largeenough to beRS.READ SYMBOLSThe symbolømeans “isapproximately equal to.”

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