If the two lines being crossed are parallel lines then the corresponding angles are equal.
perpendicular
No, the hyperbolic parallel postulate is not one of Euclid's original five postulates. Euclid's fifth postulate, known as the parallel postulate, states that given a line and a point not on that line, there is exactly one line parallel to the original line that passes through the point. Hyperbolic geometry arises from modifying this postulate, allowing for multiple parallel lines through the given point, leading to a different set of geometric principles.
To indicate that a pair of lines are parallel you mark them both with an arrow. If there is another pair of parallel lines on the same shape you mark those with a double arrow.
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.
two parallel lines are crossed by another line ,that's the perpendicular.
Parallel lines are lines that never cross.
They don't always. When two lines are crossed by another line (called the transversal) the angles in matching corners are called corresponding angles. If the two lines being crossed are parallel lines, then (and only then) the corresponding angles are equal.
They don't always. When two lines are crossed by another line (called the transversal) the angles in matching corners are called corresponding angles. If the two lines being crossed are parallel lines, then (and only then) the corresponding angles are equal.
If the two lines being crossed are parallel lines then the corresponding angles are equal.
perpendicular
Railway lines with sleepers? Lines of latitude crossed by a line of longitude?
Yes, they can. Since three points define a plane, take any two points on one line and a point on the other line, and form the plane with those three points. Once you have that, then use Euclid's test to see if they are parallel. Alternately, if the planes themselves are parallel, then the lines are as well, since they definitely will never intersect.
Euclid.
Parallel lines are equidistant from one another
This is Euclid's fifth postulate, also known as the Parallel Postulate. It is quite possible to construct consistent systems of geometry where this postulate is negated - either many parallel lines or none.
Euclid not Euripides