1.2. Segments and Distance http://www.ck12.org
7.
8.
- Make a sketch ofBT, withAbetweenBandT.
- IfOis in the middle ofLT, where exactly is it located? IfLT= 16 cm, what isLOandOT?
- For three collinear points,AbetweenTandQ.
a. Draw a sketch.
b. Write the Segment Addition Postulate.
c. IfAT= 10 inandAQ= 5 in, what isT Q?
- For three collinear points,MbetweenHandA.
a. Draw a sketch.
b. Write the Segment Addition Postulate.
c. IfHM= 18 cmandHA= 29 cm, what isAM?
- Make a sketch that matches the description:Bis betweenAandD.Cis betweenBandD.AB= 7 cm,AC=
15 cm,andAD= 32 cm. FindBC,BD,andCD. - Make a sketch that matches the description:Eis betweenFandG.His betweenFandE.F H= 4 in,EG=
9 in,andF H=HE. FindF E,HG,andF G. - Make a sketch that matches the description:Sis betweenTandV.Ris betweenSandT.Tis betweenRand
Q.QV= 18 ,QT= 6 ,andT R=RS=SV.
a. FindRS.
b. FindQS.
c. FindT S.
d. FindT V.
For 16-20, SupposeJis betweenHandK. Use the Segment Addition Postulate to solve forx. Then find the length
of each segment.
16.HJ= 4 x+ 9 ,JK= 3 x+ 3 ,KH= 33
17.HJ= 5 x− 3 ,JK= 8 x− 9 ,KH= 131
18.HJ= 2 x+^13 ,JK= 5 x+^23 ,KH= 12 x− 4
19.HJ=x+ 10 ,JK= 9 x,KH= 14 x− 58
20.HJ=^34 x− 5 ,JK=x− 1 ,KH= 22
- Draw four points,A,B,C,andDsuch thatAB=BC=AC=AD=BD(HINT:A,B,CandDshould NOT
be collinear)
For 22-25, determine the vertical or horizontal distance between the two points.