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In Fig ., AP||BQ ||CR . Prove that a...

In Fig ., AP||BQ ||CR . Prove that `ar (DeltaPBR) = ar (DeltaAQC)`

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AP||BQ||CR. Prove that ar(AQC) = ar(PBR)

In Fig. ABCD is a parallelogram. Prove that ar (DeltaBCP) = ar (DeltaDPQ) .

In Fig. ABCD is a parallelogram. Prove that ar (DeltaACP) = ar (DeltaDPQ) .

In the figure CD||AE and CYA||BA. Prove that : ar(CBX) = ar(AXY)

In the figure PSDA is a parallelogram. Points Q and R are taken on PS such that PQ = QR = RS and PA||QB||RC. Prove that: ar(trianglePQE) = ar(triangleCFD)

D and E are points on sides AB and AC respectively of a DeltaABC such that ar (DeltaBCE) = ar (DeltaBCD) . Show that DE || BC .

In the figure. ABCD is a parallelogram and O is any point on BC . Prove that ar (triangleABO) + ar (triangleDOC) = ar(triangleODA)

ABCD is a parallelogram whose diagonals intersect at E. AC is produced to F such that CF = AE Prove that ar (DeltaBDF) = ar (|| gm ABCD) .

In Fig. 9.13, ABCD is a parallelogram and EFCD is a rectangle. Also, AL bot DC . Prove that (i) ar (ABCD) = ar (EFCD) (ii) ar (ABCD) = DC × AL

ABCD is a trapezium with AB || DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar (ADX) = ar (ACY). [Hint : Join CX.]

SWAN PUBLICATION-AREAS OF PARALLELOGRAMS AND TRIANGLES -EXERCISE 9.3
  1. E is any point on median AD of a triangle ABC . Show that ar (ABE) = a...

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  2. Show that the diagonals of a parallelogram divide it into four triangl...

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  3. In Fig ., ABC and ABD are two triangles on the same base AB ....

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  4. D, E and F are respectively the mid-points of the sides BC, CA and AB ...

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  5. D, E and F are respectively the mid-points of the sides BC, CA and AB ...

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  6. D, E and F are respectively the mid-points of the sides BC, CA and AB ...

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  7. In Fig ., diagonals AC and BD of quadrilateral ABCD intrsect at...

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  8. In Fig ., diagonals AC and BD of quadrilateral aBCD intrsect at...

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  9. In Fig ., diagonals AC and BD of quadrilateral ABCD intrsect at...

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  10. D and E are points on sides AB and AC respectively of DeltaABC such th...

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  11. XY is a line parallel to side BC of triangle ABC. If BE II AC and CF I...

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  12. The side AB of a parallelogram ABCD is produced to any point P. A line...

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  13. In the figure. ABCD in a trapezium in which AB||DC. Proe that ar(trian...

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  14. In Fig ., ABCDE is a pentagon . A line through B parallel to ...

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  15. In Fig ., ABCDE is a pentagon . A line through B parallel to ...

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  16. Find the area of a square plot of side 8m.

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  17. ABCD is a trapezium with AB || DC. A line parallel to AC intersects AB...

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  18. In Fig ., AP||BQ ||CR . Prove that ar (DeltaPBR) = ar (DeltaAQC)

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  19. Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a w...

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  20. ar(DRC) = ar(DPC) and ar(BDP) = ar(ARC). Show that both the quadrilate...

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