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Corresponding angles formed when parallel lines are intersected by a transversal are congruent?
Wiki User
∙ 14y ago
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Wiki User
∙ 14y ago
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Is this statement true or falseIf two lines are intersected by a transversal so that consecutive interior angles are congruent, then the lines are parallel.?
false
How can you prove that a constructed line is parallel to a given line if the transversal in not perpendicular?
Show that corresponding angles are congruent?
Uses of parallel lines cut by a transversal?
There's lots of useful things you can discover when parallel lines are cut by a transversal, most of them having to do with angle relationships. Corresponding angles are congruent, alternate interior angles are congruent, same side or consecutive interior angles are supplementary, alternate exterior angles are congruent, and vertical angles are congruent.
What are transversal and corresponding angles?
A transversal line cuts through parallel lines forming equal corresponding angles
Do all corresponding angles measure the same?
No. Corresponding angles are only equal when the lines crossed by the transversal are parallel.
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 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.
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.
If two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.?
true
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
Congruent angles that are on the same side of the parallel lines of the transversal are?
Corresponding angles.
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 this statement true or falseIf two lines are intersected by a transversal so that consecutive interior angles are congruent, then the lines are parallel.?
false
Is this statement true or falseIf two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.?
true
What is two lines cut by a transversal so that corresponding angles are congruent then what is the lines?
They are parallel lines
What is the definition of the corresponding angles converse?
when two lines are cut by a transversal so that the corresponding angles are congruent, the the lines are parallel
Which angle pairs are always congruent if a transversal cuts two parallel lines?
The corresponding and alternate angles
