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In DeltaA B Cand DeltaD E F, A B\ =\ D E...

In `DeltaA B C`and `DeltaD E F`, `A B\ =\ D E`, `A B\ ||\ D E`, `B C\ =\ E F` and `B C\ ||\ E F`. Vertices A, B and C are joined to vertices D, E and F respectively (see Fig. 8.22).Show that (i) quadrilateral ABED is a parall

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Most A, B, C, D, E and F refer to

In Fig. 7.21, A C\ =\ A E , A B\ =\ A D and /_B A D\ =/_E A C . Show that B C\ =\ D E .

In a parallelogram A B C D ,E ,F are any two points on the sides A B and B C respectively. Show that a r( A D F)=a r( D C E)dot

E and F are respectively the mid-points of equal sides AB and AC of DeltaA B C (see Fig. 7.28). Show that BF = C E .

X Y isa line parallel to side B C of A B CdotB E A and C F A B meet X Y in E and F respectively.Show that a r( A B E)=a r( A C F)dot

In an isosceles triangle ABC with A B" "=" "A C , D and E are points on BC such that B E" "=" "C D (see Fig. 7.29). Show that A D""= "A E

In figure, if DeltaA B E~=DeltaA C D , show that DeltaA D E~ DeltaA B C .

In Fig. 71, if A B C D\ a n d\ C D E F ,\ find \ /_A C E

A B C D is a square E ,\ F ,\ G\ a n d\ H are points on A B ,\ B C ,\ C D\ a n d\ D A respectively, such that A E=B F=C G=D Hdot Prove that E F G H is square.

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

MTG IIT JEE FOUNDATION-QUADRILATERALS -NCERT SECTION (Exercise 8.1 )
  1. The angles of a quadrilateral are in the ratio 3:5:9: 13. Find all the...

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  2. If the diagonals of a parallelogram are equal, then it is a

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  3. Show that if the diagonals of a quadrilateral bisect each other at rig...

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  4. Show that the diagonals of a square are equal and bisect each other...

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  5. Show that if the diagonals of a quadrilateral are equal and bisect eac...

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  6. Diagonal AC of a paraleligram ABCD bisects angleA (sec figure). Show t...

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  7. Diagonal AC of a paraleligram ABCD bisects angleA (sec figure). Show t...

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

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  9. ABCD is a reactangle in which diagonal AC bisects angleA as well as an...

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  10. ABCD is a reactangle in which diagonal AC bisects angleA as well as an...

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  11. In parallelogram ABCD two points P and Q are taken on diagonal BD such...

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  12. In parallelogram ABCD two points P and Q are taken on diagonal BD such...

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  13. In parallelogram ABCD two points P and Q are taken on diagonal BD such...

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  14. In parallelogram ABCD two points P and Q are taken on diagonal BD such...

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  15. In parallelogram ABCD two points P and Q are taken on diagonal BD such...

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  16. In DeltaA B Cand DeltaD E F, A B\ =\ D E, A B\ ||\ D E, B C\ =\ E F an...

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  17. In DeltaA B Cand DeltaD E F, A B\ =\ D E, A B\ ||\ D E, B C\ =\ E F an...

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  18. In figure, AB||DE, AB=DE, AC||DF and AC=DF. Prove that BC||EF and BC=E...

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  19. In DeltaABC and DeltaDEF, it is given that AB = De and BC = EF. In ord...

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  20. ABCD is a trapezium in which AB||CD and AD=BC (see figure). Show that ...

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