CK-12 Geometry-Concepts

(Marvins-Underground-K-12) #1

http://www.ck12.org Chapter 3. Parallel and Perpendicular Lines


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  1. Find the value ofxifm^61 = ( 4 x+ 35 )◦,m^68 = ( 7 x− 40 )◦:

  2. Are lines 1 and 2 parallel? Why or why not?


For 3-8, what does the value ofxhave to be to make the lines parallel?


3.m^62 = ( 8 x)◦andm^67 = ( 11 x− 36 )◦
4.m^61 = ( 3 x+ 5 )◦andm^68 = ( 4 x− 3 )◦
5.m^62 = ( 6 x− 4 )◦andm^67 = ( 5 x+ 10 )◦
6.m^61 = ( 2 x− 5 )◦andm^68 = (x)◦
7.m^62 = ( 3 x+ 50 )◦andm^67 = ( 10 x+ 1 )◦
8.m^61 = ( 2 x− 12 )◦andm^68 = (x+ 1 )◦

For 9-12, determine whether the statement is true or false.



  1. Alternate exterior angles are always congruent.

  2. If alternate exterior angles are congruent then lines are parallel.

  3. Alternate exterior angles are on the interior of two lines.

  4. Alternate exterior angles are on opposite sides of the transversal.


For questions 13-15, use the picture below.

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