CK-12 Geometry-Concepts

(Marvins-Underground-K-12) #1

1.2. Distance Between Two Points http://www.ck12.org


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For 1-4, use the ruler in each picture to determine the length of the line segment.


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  1. Make a sketch ofBT, withAbetweenBandT.

  2. IfOis in the middle ofLT, where exactly is it located? IfLT= 16 cm, what isLOandOT?

  3. For three collinear points,AbetweenTandQ.


a. Draw a sketch.
b. Write the Segment Addition Postulate.
c. IfAT= 10 inandAQ= 5 in, what isT Q?


  1. For three collinear points,MbetweenHandA.


a. Draw a sketch.
b. Write the Segment Addition Postulate.
c. IfHM= 18 cmandHA= 29 cm, what isAM?


  1. Make a sketch that matches the description:Bis betweenAandD.Cis betweenBandD.AB= 7 cm,AC=
    15 cm,andAD= 32 cm. FindBC,BD,andCD.


For 10-14, SupposeJis betweenHandK. Use the Segment Addition Postulate to solve forx. Then find the length
of each segment.


10.HJ= 4 x+ 9 ,JK= 3 x+ 3 ,KH= 33
11.HJ= 5 x− 3 ,JK= 8 x− 9 ,KH= 131
12.HJ= 2 x+^13 ,JK= 5 x+^23 ,KH= 12 x− 4
13.HJ=x+ 10 ,JK= 9 x,KH= 14 x− 58
14.HJ=^34 x− 5 ,JK=x− 1 ,KH= 22


  1. Draw four points,A,B,C,andDsuch thatAB=BC=AC=AD=BD(HINT:A,B,CandDshould NOT
    be collinear)


For 16-19, determine the vertical or horizontal distance between the two points.

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