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How are parallel lines perpendicular to the same line?
If you have two parallel lines, then they have the same slope. If you have another line, in the same plane as the first two lines, and it is not parallel to them, then the angle of intersection with the first line will be the same as the angle of intersection with the second line. If this angle is 90°, then the third line is perpendicular to the first line and also to the second line. For an example, think of a rectangle. Two opposite sides are parallel. Now pick one of the 3rd or 4th sides. Each of these sides is perpendicular to both the first side and the second side.
How do you find all the places equidistant from to lines?
If the two lines are coplanar, then it is a third, parallel, line which is halfway between the two lines. If the two lines are not in the same plane, then I think it will be a saddle shape (paraboloid).
Are two lines parallel to a third line parallel to each other?
Yes.
What are the three relationships for two straight lines in the same plane?
Well, there are really only two: parallel and intersecting. Parallel lines go in the same direction and never cross; intersecting lines do cross (or intersect). However, a third relationship, that's actually a special case of intersecting lines, is the case of perpendicular lines. Perpendicular lines are those that make four right angles when they intersect. Really, it's enough if you know that only one of the angles is a right angle - the rest follow automatically.
Are perpendicular lines perpendicular to a third line?
Yes. Take a look at the corner of your room, where two walls meet the floor.
If one of two parallel lines is perpendicular to another line is the other of the two lines parallel to the third line?
since one parallel lines is perpendicular to another line, the other parallel line is perpendicular to the line as well. so the two would not be parallel, only the original two.
What quadrilateral has two right angles one set of parallel lines and two sets of perpendicular lines?
If by two sets of perpendicular lines you mean two pairs of perpendicular lines we can do it. One set of parallel lines is easy so draw that as the first and second lines A right angle from one of them will intersect the other at a right angle so that's the third line and the right angles sorted. The fourth side cannot be parallel to the third so draw it at an angle to the third. We now have two right angles, one set of parallel lines and two pairs of perpendicular lines, first and third, and second and third. What we call it depends on where we are. In the UK it is called a trapezium and in the USA a trapezoid. I'm afraid I don't know naming conventions in other countries.
What is a perpendicular with paralles lines?
If there are given two parallel line L1 and L2, and a third line L3 that is perpendicular to L1, then the line L3 must also be perpendicular to L2.
Which statement best shows the similarity in constructing a pair of parallel lines and a pair of perpendicular lines?
third choice, both do not require the use of a compass to draw arcs
Two lines perpendicular to the same line are perpendicular to each other true or false?
TRUE:: The first two lines lie in the same plain, but are perpendicular to each other. The third line passes through the plane of the first two lines so it is also perpendicular. Think 3-dimension. !!!!!
What does it look to have two parallel lines that are intersected by a third line perpendicular to the parallel lines?
It looks like a ladder with only one step, a railroad track with only one tie, or the upper-case letter ' H '.
If two lines are parallel to a third line then the two lines are parallel?
They are parallel to each other.
How are parallel lines perpendicular to the same line?
If you have two parallel lines, then they have the same slope. If you have another line, in the same plane as the first two lines, and it is not parallel to them, then the angle of intersection with the first line will be the same as the angle of intersection with the second line. If this angle is 90°, then the third line is perpendicular to the first line and also to the second line. For an example, think of a rectangle. Two opposite sides are parallel. Now pick one of the 3rd or 4th sides. Each of these sides is perpendicular to both the first side and the second side.
If two parallel planes are cut by a third plane the lines of intersection are?
Parallel lines.
How do you find all the places equidistant from to lines?
If the two lines are coplanar, then it is a third, parallel, line which is halfway between the two lines. If the two lines are not in the same plane, then I think it will be a saddle shape (paraboloid).
Are two lines parallel to a third line parallel to each other?
Yes.
What are the three relationships for two straight lines in the same plane?
Well, there are really only two: parallel and intersecting. Parallel lines go in the same direction and never cross; intersecting lines do cross (or intersect). However, a third relationship, that's actually a special case of intersecting lines, is the case of perpendicular lines. Perpendicular lines are those that make four right angles when they intersect. Really, it's enough if you know that only one of the angles is a right angle - the rest follow automatically.
