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now you can see that two parallel lines are intersected by another two ll lines therefore we can prove congurent in two traingle by constructing a line in quadiletral formed therefore their angle are equal nd are prallel

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Q: If a transversal intersect two lines such that the bisectors of a pair of corresponding angles are parallel then prove that lines are parallel?
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Related questions

What happen to a transversal intersect two parallel line?

A transversal is a line that intersects two or more other lines. If the corresponding angles are congruent then the two lines being intersected are parallel and vice verso.


Does a transversal line have to intersect with two parallel lines?

Yes, a transversal line always intersects two parallel lines.


What are transversal and corresponding angles?

A transversal line cuts through parallel lines forming equal corresponding angles


What are corresponding and alternate angles?

Parallel lines can have a line crossing both of them. They call that the transversal. Corresponding angles are on the same side of the transversal. Alternate are on opposite sides of the transversal.


If two lines are cut by a transversal so that corresponding angles are congruent?

If two parallel lines are intersected by a transversal, then the corresponding angles are congruent. This is the transversal postulate. So the answer is the lines would be parallel. This means that the statement is true.


What line intersect through parallel lines?

No line can intersect parallel lines. Parallel lines by definition never intersect.


What line that intersect two parallel lines to form eight angle?

Transversal


If two lines intersect can they also be parallel explain?

Two lines will remain parallel when they are intersected by a transversal line


If a parallel lines are intersected by a transversal how many pairs of corresponding angles are there?

If there are only two parallel lines then 4 corresponding angles will be created


Can all alternate interior and corresponding angles formed by two parallel lines and a transversal be congruent?

Sure. Just as long as the transversal is perpendicular to the parallel lines.


Is it true that if two lines are crossed by a transversal the two lines are parallel?

A transversal is simply any line that passes through two or more coplanar lines each at different points. So picture, if you will, two lines that are clearly not parallel. I can easily construct a transversal that passes through them. HOWEVER, if two parallel lines are intersected by a transversal, then the corresponding angles are congruent. This is called the transversal postulate. If the corresponding angles are congruent, than the lines are parallel. This is the converse of the first postulate. So, the answer to your question is NO, unless the corresponding angles are congruent.


Corresponding angles formed when parallel lines are intersected by a transversal are congruent?

true