CK-12 Geometry - Second Edition

(Marvins-Underground-K-12) #1

3.3. Proving Lines Parallel http://www.ck12.org


16.m^61
17.m^62
18.m^63
19.m^64
20.m^65
21.m^66
22.m^67

For 23-27, what doesxhave to measure to make the lines parallel?


23.m^63 = ( 3 x+ 25 )◦andm^65 = ( 4 x− 55 )◦
24.m^62 = ( 8 x)◦andm^67 = ( 11 x− 36 )◦
25.m^61 = ( 6 x− 5 )◦andm^65 = ( 5 x+ 7 )◦
26.m^64 = ( 3 x− 7 )◦andm^67 = ( 5 x− 21 )◦
27.m^61 = ( 9 x)◦andm^66 = ( 37 x)◦
28.ConstructionDraw a straight line. Construct a line perpendicular to this line through a point on the line. Now,
construct a perpendicular line to this new line. What can you conclude about the original line and this final
line?


  1. How could you prove your conjecture from problem 28?

  2. What is wrong in the following diagram, given thatj||k?

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