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A B C D is a parallelogram and E and F a...

`A B C D` is a parallelogram and `E and F` are the centroids of triangles `ABD` and `BCD` respectively, then `E F=` (a)`A E` (b) `B E` (c) `C E` (d)`D E`

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To solve the problem, we need to find the length of the segment \( EF \) in the parallelogram \( ABCD \), where \( E \) and \( F \) are the centroids of triangles \( ABD \) and \( BCD \) respectively. ### Step-by-Step Solution: 1. **Understanding the Parallelogram**: - Draw the parallelogram \( ABCD \) with vertices labeled as follows: - \( A(0, 0) \) - \( B(a, 0) \) ...
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RD SHARMA-QUADRILATERALS-All Questions
  1. The figure formed by joining the mid-point of the adjacent sides of...

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  2. Find the measure of all the angles of a parallelogram, if one angle is...

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  3. In a parallelogram A B C D , if /D A B=75^@ and /D B C=60^@, then /B D...

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  4. In a parallelogram A B C D , if /D A B=75^@and /D B C=60^@, then /B D ...

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  5. A B C D is a parallelogram and E and F are the centroids of triangle...

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  6. A B C D is a parallelogram, M is the mid-point of B D and B M bisects ...

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  7. A B C D is a parallelogram and E is the mid-point of B C ,\ D E\ a n d...

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  8. If an angle of a parallelogram is two-third of its adjacent angle, f...

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  9. If the degree measures of the angles of quadrilateral are 4x ,\ 7x ...

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  10. In a quadrilateral A B C D ,\ /A+/C is 2 times /B+/Ddot If /A=140^@\ a...

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  11. If the diagonals of a rhombus are 18 c m\ a n d\ 24 c m respectively...

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  12. The diagonals A C\ a n d\ B D of a rectangle A B C D intersect each ot...

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  13. A B C D is a parallelogram in which diagonal A C\ bisects /B A Ddot...

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  14. In a rhombus A B C D , if /A C B=40^@, then /A D B=(a) 70^@ (b) 45...

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  15. In A B C ,\ /A=30^@,\ /B=40^@a n d\ /C=110^@dot The angles of the t...

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  16. The diagonals of a parallelogram A B C D intersect at O . If /B O C=...

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  17. A B C D is a trapezium in which A B|\|D C , M\ a n d\ N are the mid-...

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  18. Diagonals of a quadrilateral A B C D bisect each other. If /A=45^@, ...

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  19. P is the mid-point of side B C of a parallelogram A B C D such that...

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  20. In A B C ,\ E is the mid-point of median A D such that B E produce...

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