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Q: Point A lies outside of plane P how many lines can be drawn parallel to plane P that pass through point A?
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Do Through a point not on a line one and only one line always can be drawn parallel to the given line?

True


What is the symbol for the duplex receptacle?

In North America the symbol used for a receptacle is a circle with two parallel lines drawn through it. The two parallel lines are started out side of the top of the circle and drawn down to the bottom of the circle and stopped at the outside of the circle.


What postulate is not of euclidean geometry?

Euclidean Geometry is based on the premise that through any point there is only one line that can be drawn parallel to another line. It is based on the geometry of the Plane. There are basically two answers to your question: (i) Through any point there are NO lines that can be drawn parallel to a given line (e.g. the geometry on the Earth's surface, where a line is defined as a great circle. (Elliptic Geometry) (ii) Through any point, there is an INFINITE number of lines that can be drawn parallel of a given line. (I think this is referred to as Riemannian Geometry, but someone else needs to advise us on this) Both of these are fascinating topics to study.


Is the tangent of a circle is parallel to the radius drawn to the point of tangency?

Yes it is. Great work!


How many tangents can be drawn from a single point?

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How many tangents can be drawn to a circle containing a point outside the circle?

Any tangent must contain a point outside the circle. So the answer to the question, as stated, is infinitely many. However, if the question was how many tangents to a circle can be drawn from a point outside the circle, the answer is two.


What is the name of the shape formed when two lines are drawn away from a single point?

That is called an angle.


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... given line. This is one version of Euclid's fifth postulate, also known as the Parallel Postulate. It is quite possible to construct consistent systems of geometry where this postulate is negated - either many parallel lines or none.


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Probably the best known equivalent of Euclid's parallel postulate, contingent on his other postulates, is Playfair's axiom, named after the Scottish mathematician John Playfair, which states:In a plane, given a line and a point not on it, at most one line parallel to the given line can be drawn through the point.


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"Euclidean" geometry is the familiar "standard" geometry. Until the 19th century, it was simply "geometry". It features infinitely divisible space, up to three dimensions, and, most notably, the "parallel postulate": "Given a line, and a point not on the line, there is exactly one line that can be drawn through the point and parallel to the given line."


How many line can be drawn through two point in a plane?

One.


How many rays can be drawn through one point?

Infinitely many.