10pts
Geometry- Questions 12 & 14

Answers:

12. Perpendicular, 14. Parallel

Step-by-step explanation:

12.  Perpendicular - if you check the slope of both lines you'll find they are exactly the same except line 1 has a negative slope and line 2 is positive.

Slope is Rise (different in y values) over the Run (difference in the x values)

Line 1 Rise - the difference between 0 and -2 is -2

          Run - the difference between -5 and -3 is also 2

          Slope is 2/2 and since the line slants down to the right, it is negative

Line 2  Rise - the difference between 2 and 4 is 2

            Run - the difference between -2 and 0 is also 2

            Slope is 2/2 and since the line slants up and to the right it is positive

Two lines that have equal slopes but opposite +/- values are perpendicular

14.  Parallel

     If you look at the Y values on line 1, the numbers are the same ( 2 )

     Line 2 also has the same Y values ( 1 )

So both lines are flat traveling straight across above the x axis.  One line is at 1 and the other is at 2 so they will never meet and or intersect.