2-5: Midpoints

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2-5: Midpoints. 2-5: Midpoints. Theorem 2-5 : Midpoint Formula for a Number Line On a number line, the coordinates of the midpoint of a segment whose endpoints have the coordinates a and b is. 2-5: Midpoints. Theorem 2-6 : Midpoint Formula for a Coordinate Plane - PowerPoint PPT Presentation

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  • 2-5: MIDPOINTS

  • 2-5: MidpointsTHEOREM 2-5: Midpoint Formula for a Number Line

    On a number line, the coordinates of the midpoint of a segment whose endpoints have the coordinates a and b is

  • 2-5: MidpointsTHEOREM 2-6: Midpoint Formula for a Coordinate Plane

    On a coordinate plane, the coordinates of the midpoint of a segment whose endpoints have the coordinates (x1, y1) and (x2, y2) are

  • 2-5: MidpointsUse the number line below to find the coordinates of the midpoint to:

    RS

    RT

  • 2-5: MidpointsFind the coordinates of M, the midpoint of JK, given endpoints J(2, -9) and K(8, 3)

    Find the coordinates of N, the midpoint of VW, given endpoints V(-4, -3) and W(6, 11)

  • 2-5: MidpointsSometimes, instead of being asked to find the midpoint given the two endpoints, you may be asked to find one of the endpoints given the other endpoint and the midpoint.ExampleSuppose G(8, -9) is the midpoint of FE and the coordinates of E are (18, -21). Find the coordinates of F.Solution: Solve the x and y coordinates separately (on next slide)

  • 2-5: MidpointsExampleSuppose G(8, -9) is the midpoint of FE and the coordinates of E are (18, -21). Find the coordinates of F.x-coordinatey-coordinate

    F is at (-2, 3)

  • 2-5: MidpointsYour TurnSuppose K(-10, 17) is the midpoint of IJ and the coordinates of J are (4, 12). Find the coordinates of I. F is at (-24, 22)

  • 2-5: MidpointsAssignmentWorksheet #2-5