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loudiema
30.03.2020 •
Mathematics
Am I correct for the following questions? because I'm not sure if I am.
If not what are the correct choices?
Which of the lines are parallel?
(1) a and b
(2) a and c
(3) a and D
(4) b and c
(5) b and D
(6) c and D
Which of the lines are perpendicular?
(1) a and b
(2) a and c
(3) a and D
(4) b and c
(5) b and D
(6) c and D
Please show all the work on how you got your answers
Solved
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Ответ:
The answer to your question is C and D are parallel
B and C and B and D are perpendiculars.
Step-by-step explanation:
Data
Line A (-2, 3) (2, 2)
Line B (-3, 0) (3, -2)
Line C (2, 4) (0, -2)
Line D (0, 6) (-2, 0)
Process
1.- Calculate the slope of each line
m = (y2 - y1)/(x2 - x1)
Line A m = (2 - 3) / (2 + 2)
m = -1/4
Line B = (-2 - 0) / (3 + 3)
= -2/6
= -1/3
Line C = (-2 -4)/(0 - 2)
= -6/-2
= 3
Line D = (0 - 6) / (-2 - 0)
= -6/-2
= 3
2.- Conclusion
If the slopes are the same, the lines are parallel if are reciprocal, the lines are perpendicular
Line C ║ Line D
Line B ⊥ Line C and Line B ⊥ Line D
Ответ: