State True or False against the following statements: i) It is possible to make a polygon with only two sides. ii) Parallel lines never meet.
Answers
Answer:
true
Step-by-step explanation:
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i) False.
Reasoning: If we have a polygon with two sides, then the lines can either be parallel or intersecting. If they are parallel, they will never intersect, leading to no polygon forming. If they are intersecting, they are not parallel. If they are not parallel, the distance between two points in between them will change. That means at one instance they will not have the distance between both the points as 0. Which means that the constructed figure will be an open figure. Polygons are closed figures.
ii) True.
Reasoning: Parallel lines have the distance between two corresponding points constant. Parallel lines will have the distance in between same throughout. For the lines to meet, the distance needs to equal 0. Since the distance between them is greater than 0 and remains constant, they will never intersect.