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Why does every line have at least one bisection point?
Every line segment has exactly one bisection point - not "at least one".A line segment has a length that is a finite real number, x, of some measurement units. Every real number can be divided by 2 to give another real number, y. Therefore y = x/2 or x = 2y.A point that is y units from one end of the line will also be x - y = 2y - y = y units from the other end. That is the point is the bisection point.
What is a bisection?
A bisection is a division or the process of division into two parts, especially two equal parts.
How would you draw a regular pentagon?
*Note that it is assumed you know what the terms diameter, perpendicular, bisect/bisection and intersection mean in relation to geometry. If not, they are explained in the discussion area. To construct a regular pentagon using a compass and ruler (a longer, but more precise method): # Draw a circle in which to inscribe the pentagon and mark the center point O. # Choose a point A on the circle; this will be one vertex of the pentagon. Draw the diameter line through O and A. # Construct a line perpendicular to the line OA passing through O. Mark its intersection with one side of the circle as the point B. # Construct the point C as the midpoint of O and B. # Draw a circle centered at C through the point A. Mark its intersection with the line OB(inside the original circle) as the point D. # Draw a circle centered at A through the point D. Mark its intersections with the original circle as the points E and F. # Draw a circle centered at E through the point A. Mark its other intersection with the original circle as the point G. # Draw a circle centered at F through the point A. Mark its other intersection with the original circle as the point H. # Construct the regular pentagon AEGHF. To construct a regular pentagon using a protractor (less time, but not as accurate): # Make a short line. This will be one side of the pentagon. Label the ends A and B # Place the baseline of the protractor on this line, with the centre at A. # Mark the point of 108o with a dot. # Make another line which starts at A, is the same length as AB and goes towards the dot. # Repeat the use of the protractor on the newest line you have drawn three more times. The final line should meet up with B.
What is point B if you touch point C from point A?
Point Z
A point at an end of a segment or a starting point of a ray?
end point
