Class 5 Exam > Class 5 Questions > If A, B, C and D are collinear in the same se...
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If A, B, C and D are collinear in the same sequence, then
- a)AD+CD=AC
- b)AC+CB=AB
- c)BA+CA=BC
- d)AB+CD=AD
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If A, B, C and D are collinear in the same sequence, thena)AD+CD=ACb)A...
Explanation:
Collinearity of Points:
When points A, B, C, and D are said to be collinear, it means they all lie on the same straight line.
Understanding the Options:
Let's break down each option to understand them better:
- Option a: AD CD=AC
- Option b: AC CB=AB
- Option c: BA CA=BC
- Option d: AB CD=AD
Verification of Option D:
- In a collinear sequence, if we consider points A, B, C, and D, then AB + BC = AC (By the segment addition postulate).
- So, AB + BC = AC is equivalent to AB + CD = AD (Since CD = BC). This validates option D.
Conclusion:
Therefore, in a collinear sequence of points A, B, C, and D, the relation AB + CD = AD holds true, making option D the correct choice.
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