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In a trapezium ABCD, AB is parallel to CD and the diagonals intersect each other at O. What is the ratio of OA to OC equal to?
- a)Ratio of OB to OD
- b)Ratio of BC to CD
- c)Ratio of AD to AB
- d)Ratio of AC to BD
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In a trapezium ABCD, AB is parallel to CD and the diagonals intersect ...
In the figure, the diagonal of the trapezium ABCD intersect at O;
Observing triangle AOB and COD;
Since AB II CD : ∠CAB = ∠ACD and ∠ABD = ∠BDC;
∴ Triangles AOB and COD are similar;
∴ AO/OC = BO/OD
Most Upvoted Answer
In a trapezium ABCD, AB is parallel to CD and the diagonals intersect ...
Explanation:
Given:
- Trapezium ABCD where AB is parallel to CD
- Diagonals AC and BD intersect at O
Ratio of OA to OC:
- In triangle AOC, we have OA as one of the sides and OC as another side
- Since OA and OC are the diagonals of the trapezium, they bisect each other at the point of intersection O
- Therefore, AO is equal in length to OC
- So, the ratio of OA to OC is 1:1, which simplifies to 1
Therefore, the correct answer is option 'A', which is the ratio of OA to OC.
Given:
- Trapezium ABCD where AB is parallel to CD
- Diagonals AC and BD intersect at O
Ratio of OA to OC:
- In triangle AOC, we have OA as one of the sides and OC as another side
- Since OA and OC are the diagonals of the trapezium, they bisect each other at the point of intersection O
- Therefore, AO is equal in length to OC
- So, the ratio of OA to OC is 1:1, which simplifies to 1
Therefore, the correct answer is option 'A', which is the ratio of OA to OC.
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In a trapezium ABCD, AB is parallel to CD and the diagonals intersect each other at O. What is the ratio of OA to OC equal to?a)Ratio of OB to ODb)Ratio of BC to CDc)Ratio of AD to ABd)Ratio of AC to BDCorrect answer is option 'A'. Can you explain this answer?
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In a trapezium ABCD, AB is parallel to CD and the diagonals intersect each other at O. What is the ratio of OA to OC equal to?a)Ratio of OB to ODb)Ratio of BC to CDc)Ratio of AD to ABd)Ratio of AC to BDCorrect answer is option 'A'. Can you explain this answer? for Defence 2025 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about In a trapezium ABCD, AB is parallel to CD and the diagonals intersect each other at O. What is the ratio of OA to OC equal to?a)Ratio of OB to ODb)Ratio of BC to CDc)Ratio of AD to ABd)Ratio of AC to BDCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a trapezium ABCD, AB is parallel to CD and the diagonals intersect each other at O. What is the ratio of OA to OC equal to?a)Ratio of OB to ODb)Ratio of BC to CDc)Ratio of AD to ABd)Ratio of AC to BDCorrect answer is option 'A'. Can you explain this answer?.
In a trapezium ABCD, AB is parallel to CD and the diagonals intersect each other at O. What is the ratio of OA to OC equal to?a)Ratio of OB to ODb)Ratio of BC to CDc)Ratio of AD to ABd)Ratio of AC to BDCorrect answer is option 'A'. Can you explain this answer? for Defence 2025 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about In a trapezium ABCD, AB is parallel to CD and the diagonals intersect each other at O. What is the ratio of OA to OC equal to?a)Ratio of OB to ODb)Ratio of BC to CDc)Ratio of AD to ABd)Ratio of AC to BDCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a trapezium ABCD, AB is parallel to CD and the diagonals intersect each other at O. What is the ratio of OA to OC equal to?a)Ratio of OB to ODb)Ratio of BC to CDc)Ratio of AD to ABd)Ratio of AC to BDCorrect answer is option 'A'. Can you explain this answer?.
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