CK-12 Geometry - Second Edition

(Marvins-Underground-K-12) #1

1.4. Midpoints and Bisectors http://www.ck12.org



  1. (-2, -3) and (8, -7)

  2. (9, -1) and (-6, -11)

  3. (-4, 10) and (14, 0)

  4. (0, -5) and (-9, 9)


Given the midpoint(M)and either endpoint ofAB, find the other endpoint.


34.A(− 1 , 2 )andM( 3 , 6 )
35.B(− 10 ,− 7 )andM(− 2 , 1 )
36.Error AnalysisErica is looking at a geometric figure and trying to determine which parts are congruent. She
wroteAB=CD. Is this correct? Why or why not?
37.ChallengeUse the Midpoint Formula to solve for thex−value of the midpoint and they−value of the
midpoint. Then, use this formula to solve #34. Do you get the same answer?
38.Construction ChallengeUse construction tools and the constructions you have learned in this section to
construct a 45◦angle.
39.Construction ChallengeUse construction tools and the constructions you have learned in this section to
construct two 2 in segments that bisect each other. Now connect all four endpoints with segments. What
figure have you constructed?


  1. Describe an example of how the concept of midpoint (or the midpoint formula) could be used in the real world.


Review Queue Answers



  1. See Example 6

  2. 2x− 5 = 33
    2 x= 38
    x= 19
    3.m^6 ROT=m^6 ROS+m^6 SOP+m^6 POT

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