what are line segments and angles?
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A line segment is a segment of a line, joining two points. An angle is formed by two rays, lines, or segments. Its measure is a portion of a whole circle.
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The angles all add up to 180 degrees.\n\nIf you know the lengths of all the sides you can use the "Law of Tangents" to find all the angles.  This is advanced geometry and Trigonometry, so rather than type, I am including a link to a pretty good explanation.\n\nhttp://answers.google.com/answers/threadview?id=38131
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circular segment\n\nhttp://en.wikipedia.org/wiki/Circular_segment
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You will have a list of information, say the composition of x is 10%A, 33%B, 40%C and 17% D.\n\nConvert all these into a fraction of 360. (As a circle is 360 degrees)\n\nSo (10/100) x 360 = 36\nThis means that section A will have an angle of 36 degrees.\n\netc.\n\nDraw a circle then draw a single line from the centre to the edge. Use a protractor to measure 36% and draw a line.\n\nRepeat with all the other values until you have filled the circle.\n\nHope this helps.
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A ray is a line that has a definite starting point and extends infinitely in only one direction.  A line extends infinitely in both directions.  A line segment has a specific beginning and ending point.\n\nLine <---------------------->\n\nLine segment *--------------*\n\nRay *--------------->
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an angle that is inside a circle or any other figure
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Angles are formed by two rays that begin at the same point or the union of two rays with a common endpoint, called the vertex\n\nThey are measured in \ndegrees (360 = complete circle), \nminutes ' (60 minutes in one degree) and \nseconds " (60 seconds in one minute)
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tracing a curve simply means drawing the curve on a plane with reference to the coordinate axes by identifying certain special points and characteristics of the given curve like intercepts, domain, extent, asymptotes, symmetry, monotonicity, pts of inflection and so on..\n\n\nany good book on calculus, analytical geometry should help you do this(as tracing involves both the topics)
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since each one gives you a *-----* i would say all of them are line segments.\n\nHowever since D. is the only one with an indefinite beginning and end and not a possible end or beginning, i would definately have to go with \n\nD.) -5 <= x <= 5\n\nThat is the only one that has a defined beginning and end and not a undefined end and/or beginning.
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What is n?  what is m?  What is q?  How can we come up with an answer without this data?\n\nI'm going to assume that q is the midpoint the segment or segments, and that m and n are also equidistant from q.\nThen you set up a right triangle, you're looking for the hypoteneuse length and the legs measure 10 and 16.\n\nIf that's so, then lm = √(10²+16²)\nlm = 2√(5²+8²)\nlm = 2√89
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Statements\n1) PT tangent to circle O, PAB is a secant.\nReason: Given\n2)Draw line TB\nreason: two points determine a line\n3) angle mtp is congruent to angle mtb\nreason: an angle bisector(line MT) bisects an angle into two congruent angles\n4) draw tangent XY that meets at point T and is parallel to line segment PB\nreason: a tangent may be drawn to one point of a circle\n5) angle mtb is congruent to angle pmt \nreason: when a transversal crosses two parallel lines the alternate interior angle formed are congruent\n6) angle mtp is congruent to angle pmt\nreason: i forgot the name of this theorom look it up(something like if x=y and y=z then x=z)\n7) triangle PMT is isoceles \nreason= converse of the base angles theorm\n\ni hope i was able to help somewhat, i tried to draw a diagram to the best of my ability with the given information. by the way i know there was another way to do the proff with circle properties but i think it was much easier to draw a tangent parallel to PB saved a lot of steps also. good luck!
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I'm going to focus on the usual non-euclidean geometry due to Lobachevsky. In that geometry, there are infinitely many lines parallel to a given line and through a given point. Squares (i.e. figures with 4 equal sides and 4 equal angles) don't have right angles. There is a pentagon with all right angles. The area of a triangle can be determined by the sum of the angles in the triangle (it is proportional to the difference of 180 degrees and the sum of the angles). There is a 'natural' unit of distance obtained from angles between parallel lines and perpendicular lines.
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The question was not clear exactly what subsets of line?\nHere are a few possibilities:\n\n1.Subset of a real line http://en.wikipedia.org/wiki/Real_line ?  \n“In mathematics, the real line is simply the set R of real numbers. However, this term is usually used when R is to be treated as a space of some sort, such as a topological space or a vector space.” See also real numbers http://en.wikipedia.org/wiki/Real_number#Basic_properties_of_the_real_numbers \nLike in a subset of integers (3, 4, 5, 6) or (3.10, 3.11, 3.12…) \nExtension: \n2.In what geometry?\n    Point in a segment form an infinite subset of a line in Euclidian geometry.\n3.Is a line made up of segments? \n    Then the segments form a subset of line segments then?\n4.Clustering ?\n   Sets of points belonging to a line that cluster around certain conditions become subsets of line.\n\n\nCan you supply more specific information?\n\nI hope that helps.
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How about drawing a bunch of straight lines of differing length, from a fixed point, so that the tips create the image of an arc?
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equal number of sides and equal measure of angles\n\n\nor at least thats what i remember from geometry!
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Draw two lines from any tow angles to two opposite base
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What are the co-ordinates of the other point? just use the midppint formula for a segment. All the best!\n\nLife's Lovely! Love & Live Life!