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In Figure, X ,\ Y are the mid-points of ...

In Figure, `X ,\ Y` are the mid-points of opposite sides `A B\ a n d\ D C` of a parallelogram `A B C D. A Y\ a n d\ D X` are joined intersecting in `P ; C X\ a n d\ B Y` are joined intersecting in `Q` . Show that
(i) `A X C Y` is a parallelogram
(ii) `D X B Y\ ` is a parallelogram
(iii)`P X Q Y` is a parallelogram

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RD SHARMA ENGLISH-QUADRILATERALS-All Questions
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  2. In Figure, A B C D is a parallelogram and X ,Y are the mid-points of s...

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  3. In Figure, X ,\ Y are the mid-points of opposite sides A B\ a n d\ D...

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  4. Two segments A C and B D bisect each other at O . Prove that A B C D i...

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  5. In Figure, A B C D is a parallelogram and X\ a n d\ Y are points on th...

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  6. ABC is an isosceles triangle in which AB = AC . AP bisects exterior an...

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  7. A B ,C D are two parallel lines and a transversal l intersects A B at ...

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  8. If A B C\ a n d\ D E F are two triangles such that A B ,\ B C are ...

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  9. P Q R S is a square such that P R\ a n d\ S Q intersect at O. State th...

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  10. The diagonals of a rectangle A B C D\ meet at O . If /B O C=44^0, ...

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  11. If P Q R S is a square, then write the measure of /S R P

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  12. If A B C D is a rectangle with /B A C=32^0, find the measure of /D B C

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  13. If A B C D is a rhombus with /A B C=56^0, find the measure of /A C D

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  14. ABCD is a rhombus. Show that diagonal AC bisects /Aas well as /Cand d...

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  15. ABCD is a rectangle in which diagonal AC bisects /Aas well as /C. Sho...

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  16. In Figure, A B C D is a trapezium in which A B C D and A D=B Cdot sho...

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  17. In Figure, A B C D is a trapezium in which A B || C D and A D=B C. Sho...

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  18. In a parallelogram A B C D , determine the sum of angles /C\ a n d\...

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  19. In a parallelogram A B C D , if /D=135^0, determine the measures of ...

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  20. A B C D is a square. A C\ a n d\ B D intersect at O. State the measure...

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