how do you construct a line parallel to another line through a point?

Answer 1

I am assuming you want to do a proper construction with straight edge and compass. Construct the perpendicular from the point to the line. To do that set your compass on the point and draw an arc intersecting the line in two places. Then set your compass on each of those points and draw intersecting arcs on the other side of the line from you point and draw a line through the point and that intersection. That will give you the perpendicular.

Now set your compass on the point and draw an arc on the perpendicular to either side of the point. Then set your compass on each of those intersections and draw arcs on either side of the perpendicular. (Make sure the compass is set large enough for them to reach each other.) Connect those two points of intersection and you should have a line parallel to the original.

Answer 2

Hi. You need two points to describe a line. Place a compass on the point and draw a circle around that point such that the circle intersects the original line at two places (In other words, the circle radius must be larger than the distance from the point to the line.) This will give you two starting points. Any help?

Answer 3

Measure the perpendicular distance from the line to the point.

Move somewhere else on the line.

Put a point at the same distance (in the same direction), perpedicularly to the line.

Draw a line throug the given point and the point you made.

Remember the definition: At every point on one line, there's a point on the other, at the same perpedicular distance.

Alwasy go back to basics.

Answer 4

Perspective? Assuming 3 dimensional viewing, two lines could intersect on infinite points appearing as one line from a certain view on the same plane.

Answer 5

yea i agree with the first answerer...use the same slope for that second line as well....that should give to a parallel line to the first line..

Answer 6

use the same slope!

if you mean what i think you mean then...
y=mx + b
example
you want a line parallel to y = 4x +2 through the point (3,7)
y = 4x-5

Answer 7

That is not worded right. Two paralell lines cannot pass through the same point.

Answer 8

use the same slope for the second line as the first

Answer 9

Ah - I'm very pleased you asked this . . . . . . It was on the top of my ting