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Q: If six points lie on a circle how many quadrilaterals can be drawn joining these points?
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Can a circle always be drawn around a four-sided shape?

If you mean can a circle always be drawn round a quadrilateral so that the quadrilateral is enclosed within the circle then yes as long as the diameter of the circle is large enough. If you mean can a circle always be drawn around a quadrilateral so that it passes through all vertices then only if the opposite angles of the quadrilateral add up to 180o - such quadrilaterals are called cyclic quadrilaterals.


How many triangles can be drawn by joining 7 non-collinear points?

21


There are 7 points on a circle how many line segments can be drawn joining the points?

Use the formula n(n-1)/2 --> 7(7-1)/2 = 7(6)/2 = 42/2 = 21.


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The answer is 1225.


What was Euclid's first postulate?

A straight line segment can be drawn joining any two points.


A line segment drawn between two points on a circle?

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If Twelve points are drawn on a circle How many different line segments can be drawn between any two points?

66 ( 12 nCr 2 )


A compass draws all points that are equidistant from a fixed point thereby creating a locus of points for a circle?

A circle is the locus of all points equidistant from a given point, which is the center of the circle, and a circle can be drawn with a compass. (The phrase "locus of points for a circle" does not seem to be conventionally defined.) or true


All the points on a plane that are equidistant from a single point?

All points on the circumference of a circle drawn on a plane are equidistant from the single point on the plane which is the center of the circle.


What is the Name of the triangle formed by joining of points formed by the perpendiculars drawn from vertexes to the opposite side?

isosceles triangle


What is projection of line?

The line joining the feet of the perpendiculars drawn from all the points of the line onto a preselected plane.


Which of the rectangle the square the circle and the parallelogram which doesn't fit?

The circle doesn't fit because it is a curve. The other figures are drawn with line segments; they're polygons. In fact, the other figures are all quadrilaterals.