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Which postulate of Euclidean Geometry states that any two straight lines are infinitely parallel if they are equidistant from each other at two points?
- a)Postulate 1
- b)Postulate 2
- c)Postulate 3
- d)Postulate 5
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Which postulate of Euclidean Geometry states that any two straight lin...
Postulate 5 of Euclidean Geometry states that any two straight lines are infinitely parallel if they are equidistant from each other at two points.
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Which postulate of Euclidean Geometry states that any two straight lin...
Postulate 5: If two straight lines are intersected by a third straight line in such a way that the sum of the inner angles on one side is less than two right angles, then the two straight lines, if extended indefinitely, will intersect on that side.
Explanation:
Postulate 5 is also known as the parallel postulate. It deals with the concept of parallel lines. According to this postulate, if two straight lines are intersected by a third straight line in such a way that the sum of the inner angles on one side is less than two right angles, then the two straight lines, if extended indefinitely, will intersect on that side.
In simpler terms, if we have two straight lines that are intersected by a third straight line, and the angles formed on one side of the intersection are less than 180 degrees (or two right angles), then the two original lines will never meet or intersect, no matter how far they are extended.
Example:
Let's consider two straight lines, AB and CD, and a third straight line, EF, that intersects them.
A_____________________B
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E__|___________/__________F
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Explanation:
Postulate 5 is also known as the parallel postulate. It deals with the concept of parallel lines. According to this postulate, if two straight lines are intersected by a third straight line in such a way that the sum of the inner angles on one side is less than two right angles, then the two straight lines, if extended indefinitely, will intersect on that side.
In simpler terms, if we have two straight lines that are intersected by a third straight line, and the angles formed on one side of the intersection are less than 180 degrees (or two right angles), then the two original lines will never meet or intersect, no matter how far they are extended.
Example:
Let's consider two straight lines, AB and CD, and a third straight line, EF, that intersects them.
A_____________________B
| /
| /
| /
| /
| /
| /
| /
| /
| /
E__|___________/__________F
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Which postulate of Euclidean Geometry states that any two straight lines are infinitely parallel if they are equidistant from each other at two points?a)Postulate 1b)Postulate 2c)Postulate 3d)Postulate 5Correct answer is option 'D'. Can you explain this answer?
Question Description
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