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2-5: Midpoints

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

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2-5: Midpoints

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  1. 2-5: Midpoints

  2. 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

  3. 2-5: Midpoints • Theorem 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

  4. 2-5: Midpoints • Use the number line below to find the coordinates of the midpoint to: • RS • RT

  5. 2-5: Midpoints • Find 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)

  6. 2-5: Midpoints • Sometimes, 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. • Example • Suppose 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)

  7. 2-5: Midpoints • Example • Suppose G(8, -9) is the midpoint of FE and the coordinates of E are (18, -21). Find the coordinates of F. • x-coordinate y-coordinate • F is at (-2, 3)

  8. 2-5: Midpoints • Your Turn • Suppose 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)

  9. 2-5: Midpoints • Assignment • Worksheet #2-5

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