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What did Euclid have to say about parallel lines crossed by another?
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Why are corresponding angles equal?
If the two lines being crossed are parallel lines then the corresponding angles are equal.
Angles that lie outside of two parallel lines that are crossed by a transversal line?
perpendicular
How do you label parallel lines?
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.
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.
Does fifth postulate of Euclid imply the existence of parallel lines?
Yes.According to Euclid's 5th postulate, when n line falls on l and m and if, producing line l and m further will meet in the side of ∠1 and ∠2 which is less thanIfThe lines l and m neither meet at the side of ∠1 and ∠2 nor at the side of ∠3 and ∠4. This means that the lines l and m will never intersect each other. Therefore, it can be said that the lines are parallel.
When two parallel lines are crossed by another line. what is it?
two parallel lines are crossed by another line ,that's the perpendicular.
What are lines that never crossed called?
Parallel lines are lines that never cross.
Why do corresponding angles always have to be the same?
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.
Why do corresponding angles always have the same measurement?
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.
Why are corresponding angles equal?
If the two lines being crossed are parallel lines then the corresponding angles are equal.
Angles that lie outside of two parallel lines that are crossed by a transversal line?
perpendicular
Can lines on different planes be parallel?
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.
I need a real life example of Parallel lines with a perpendicular transversal?
Railway lines with sleepers? Lines of latitude crossed by a line of longitude?
Who studied points lines angles and planes relate to one another?
Euclid.
If there is a line and a point not on the line then there is exactly lines trough the point parallel to the given line?
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.
What is equidistant lines?
Parallel lines are equidistant from one another
Studied how points lines angles and planes relate to one another?
Euclid not Euripides
