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True or false Through a point not on a line one ands only one line can be constructed parallel to a given line?
Wiki User
∙ 14y ago
True for the Euclidean plane. There are consistent geometries (for example, projective geometry, or on the surface of a sphere where there may be none or more than one such lines.
Wiki User
∙ 14y ago
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How can you prove that a constructed line is parallel to a given line?
One way is to draw a straight line from the constructed line to the given line. If the lines are parallel, than the acute angle at the given and constructed line will be the same as will be the obtuse angles at the given and constructed line.
What quadrilateral has least one set of parallel lines and two right angles?
A trapezoid can be constructed to fit the given description.
How many lines are parallel to a given line through a given point?
zero
To find a segment parallel to another segment and through a given point fold a piece of paper so that the fold goes through the point and the pieces of the segment on either side of the fold match up?
False
To find a segment parallel to another segment and through a given point fold a piece of paper so that the fold goes through the point and the pieces of the segment on either side of the fold match y?
False
How can you prove that a constructed line is parallel to a given line?
One way is to draw a straight line from the constructed line to the given line. If the lines are parallel, than the acute angle at the given and constructed line will be the same as will be the obtuse angles at the given and constructed line.
A given line is always parallel to itself?
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?
How do you negate the euclidean parallel postulate?
Assume there are no lines through a given point that is parallel to a given line or assume that there are many lines through a given point that are parallel to a given line. There exist a line l and a point P not on l such that either there is no line m parallel to l through P or there are two distinct lines m and n parallel to l through P.
Through a given point not on a given line there is exactly one line parallel to the given line?
The Playfair Axiom (or "Parallel Postulate")
Which conjecture justifies the construction of a line parallel to a given line through a given point?
Euclid's parallel postulate.
How can you prove that a constructed line is parallel to a given line Assume that the transversal line is not perpendicular to the other lines?
If the lines have the same slope but with different y intercepts then they are parallel
What quadrilateral has least one set of parallel lines and two right angles?
A trapezoid can be constructed to fit the given description.
How many lines are parallel to a given line through a given point?
zero
In a given quadrilateral each side is parallel to its opposite side and the diagonals are not perpindicular?
False maybe
To find a segment parallel to another segment and through a given point fold a piece of paper so that the fold goes through the point and the pieces of the segment on either side of the fold match?
The answer is FALSE i just did it on
To find a segment parallel to another segment and through a given point fold a piece of paper so that the fold goes through the point and the pieces of the segment on either side of the fold match up?
False
