প্রমাণ করো যে,(2,0), (5,0), (6,2) এবং (3,2) বিন্দুগুলি পরস্পর যোগ করলে একটি সামান্তরিক উৎপন্ন হয়।
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Step-by-step explanation:
Given প্রমাণ করো যে,(2,0), (5,0), (6,2) এবং (3,2) বিন্দুগুলি পরস্পর যোগ করলে একটি সামান্তরিক উৎপন্ন হয়।
- Now in a parallelogram opposite sides are equal. There are four vertices. In a figure ABCD, AB and DC are opposite sides. Also AD and BC are opposite sides.
- The four points are (2,0), (5,0), (6,2) and (3,2).
- Now we need to find the distance. Using distance formula we get
- So we have distance = √(x2 – x1)^2 + (y2 – y1)^2
- So distance between AB = √(5 – 2)^2 + (0 – 0)^2
- =√9
- = 3
- Distance between DC = √(6 – 3)^2 + (2 – 2)^2
- = √9
- = 3
- Now distance between AD = √(3 – 2)^2 + 2^2
- = √5
- Distance between BC = √(6 – 5)^2 + (2 – 0)^2
- = √5
- Therefore opposite sides are equal and the given points form a parallelogram.
Reference link will be
https://brainly.in/question/18474141
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