Line c is parallel to d. Line f is parallel to g. Line f is perpendicular to c. All lines are in the same plane. What other line

Question

Bas_tet [7]

3 years ago

15

Line c is parallel to d. Line f is parallel to g. Line f is perpendicular to c. All lines are in the same plane. What other line

must line f be perpendicular to?

Mathematics

1 answer:

mr Goodwill [35] · Answer 1 · 2022-08-04T12:26:54+03:00

You can solve this problem by looking at the slopes: lines c and d will have the same slope $m_{cd}$ , because they are parallel. Similarly, lines f and g will have the same slope $m_{fg}$ , because they are parallel.

Now, if f and c are perpendicular, is means that

$m_{cd}=-\dfrac{1}{m_{fg}}$

So, the complete scenario is the following:

c and d are parallel
c and f are perpendicular
c and g are perpendicular
d and f are perpendicular
d and g are perpendicular
f and g are parallel.