write all five postulates of Euclid'sExplain 5th postulate with diagram
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Answer:
Five common postulates of Euclidean geometry are: You can draw a straight-line segment from any given point to others. ... It can be described as a circle with any given point as its center and any distance as its radius. In it all right angles are congruent.
•Postulate – I
A straight line segment can be formed by joining any two points in space.
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•Postulate – II
Any straight line can be extended indefinitely on both sides. Unlike a line segment, a line is not bounded by any endpoint and so can be extended indefinitely in either direction. A line is uniquely defined as passing through two points which are used to name it.
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•Postulate – III
A circle can be drawn with any centre and any radius.
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•Postulate – IV
All right angles are congruent or equal to one another. A right angle is an angle measuring 90 degrees.
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•Postulate – V
Two lines are parallel to each other if they intersect the third line and the interior angle between them is 180 degrees.
☞Explanation of vth postulate...
Image result for parallel lines‘Parallel lines’ are a set of 2 or more lines that never cross or intersect each other at any point in space if they are extended indefinitely. As you can see in the above image, line 1 and line 2 are parallel if and only if the sum of angles ‘a’ and ‘b’ they make with the transversal is 180 degrees.
☞(for diagram refer above attachment...)
Step-by-step explanation: