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If two lines are cut by a transversal to form pairs of congruent corresponding angles, congruent alternate interior angles, or congruent alternate exterior angles, then the lines are parallel.

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Q: What is the converse of parallel lines conjecture?
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Related questions

What is the differences between postulate theorems and converse?

postulate theorems tell that the lines are parallel, but the converse if asking you to find if the lines are parallel.

What is the converse statement of if two parallel lines are cut by a transverse then the alternate angles are congruent?

If a transversal intersects a pair of lines and the alternate angles are congruent, the lines are parallel.

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

What does parallel lines intercepted arc conjecture mean?

Parallel lines intercept congruent arcs on a circle. More explanation: Parallel lines never interSECT but they can interCEPT Congruent arcs means that the two arcs would have the same measure of the arcs.

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.

When are two lines nonintersecting?

When two lines are parallel, then they do not intersect.

Are parallel lines actually parallel?

If they were not actually parallel then they would not be parallel lines!

Why does the Parthenon have no parallel lines?

it has parallel lines

Does a rectangle have parallel lines?

no parallel lines

What is the function of parallel lines?

parallel lines are diagonal lines or increasing lines

Does perpendicular have parallel lines?

= parallel + perpendicular As such no, perpendicular lines do not naturally have parallel lines. However...connect the lines in the symbols below. ++ ++ And you'll have 4 perpendicular lines, and 4 parallel lines.

Can parallel lines be intersecting lines?

No, parallel lines do not intersect, and never will.