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What else can I help you with?
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.
Does a rectangle have parallel lines?
no parallel lines
What is the function of parallel lines?
parallel lines are diagonal lines or increasing lines
Which conjecture justifies the construction of a line parallel to a given line through a given point?
Euclid's parallel postulate.
Skew lines and parallel lines exactly the same?
Skew lines are not parallel. Parallel lines are across from each other in some way and are exactly parallel.
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 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.
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 is a counterexample to this conjecture if three lines lie in the same plane then they intersect in at least one point?
A counterexample to the conjecture is when three parallel lines lie in the same plane. In this case, none of the lines intersect at any point, demonstrating that it is possible for three lines in the same plane to not intersect at all. Therefore, the conjecture is proven false.
How many Counterexamples are needed to disprove the conjecture two lines in a plane always intersect at exactly one point?
To disprove the conjecture that two lines in a plane always intersect at exactly one point, only one counterexample is needed. A single example of two lines that do not intersect, such as two parallel lines, is sufficient to show that the conjecture is false. Therefore, one counterexample is enough to invalidate the claim.
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!
Does a rectangle have parallel lines?
no parallel lines
Why does the Parthenon have no parallel lines?
it has parallel lines
What is the function of parallel lines?
parallel lines are diagonal lines or increasing lines
