Mathematics
Grade9
Easy

Question

Explain how you would say that m || n.

  1. By perpendicular transversal theorem
  2. By using the shortest distance between a point and a line
  3. By lines perpendicular to a transversal theorem
  4. By using the shortest distance between two parallel lines

hintHint:

In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.

The correct answer is: By lines perpendicular to a transversal theorem



    G i v e n space colon space angle 1 space equals space 90 degree
angle 1 space plus space angle 4 space equals 180 degree
angle 4 space equals space 90 degree
angle 4 space equals space angle 5 space space equals space 90 degree space left parenthesis space A l t e r n a t e space i n t e r i o r space a n g l e s right parenthesis
angle 5 space plus space angle 6 space equals 180 degree
angle 6 space equals space 90 degree
bold italic B bold italic y bold space bold italic l bold italic i bold italic n bold italic e bold italic s bold space bold italic p bold italic e bold italic r bold italic p bold italic e bold italic n bold italic d bold italic i bold italic c bold italic u bold italic l bold italic a bold italic r bold space bold italic t bold italic o bold space bold italic a bold space bold italic t bold italic r bold italic a bold italic n bold italic s bold italic v bold italic e bold italic r bold italic s bold italic a bold italic l bold space bold italic t bold italic h bold italic e bold italic o bold italic r bold italic e bold italic m bold space bold colon bold space bold italic I bold italic n bold space bold italic a bold space bold italic p bold italic l bold italic a bold italic n bold italic e bold comma bold space bold italic i bold italic f bold space bold italic t bold italic w bold italic o bold space bold italic l bold italic i bold italic n bold italic e bold italic s bold space bold italic a bold italic r bold italic e bold space bold italic p bold italic e bold italic r bold italic p bold italic e bold italic n bold italic d bold italic i bold italic c bold italic u bold italic l bold italic a bold italic r bold space bold italic t bold italic o bold space bold italic t bold italic h bold italic e bold space bold italic s bold italic a bold italic m bold italic e bold space bold italic l bold italic i bold italic n bold italic e bold comma bold space bold italic t bold italic h bold italic e bold italic n bold space bold italic t bold italic h bold italic e bold italic y bold space bold italic a bold italic r bold italic e bold space bold italic p bold italic a bold italic r bold italic a bold italic l bold italic l bold italic e bold italic l bold space bold italic t bold italic o bold space bold italic e bold italic a bold italic c bold italic h bold space bold italic o bold italic t bold italic h bold italic e bold italic r bold.
bold italic T bold italic h bold italic u bold italic s bold comma bold space bold italic m bold space bold vertical line bold vertical line bold space bold italic n bold.

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