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In the figure X is any point in the inte...

In the figure X is any point in the interior of triangle. Point X is joined
to vertices of triangle. Seg `PQ||` Seg DE, Seg `QR||` Seg EF.
Prove that Seg `PR||` Seg DF.

Text Solution

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The correct Answer is:
In `DeltaXDE, PQ abs() DE`
`therefore " " (XP)/(PD) = (XQ)/(QE)`
In `DeltaXEF, QR abs() EF`
`therefore" " (XR)/(RF) = (XQ)/(QE)`
`therefore " "(XP)/(PD) = (XR)/(RF)`
`therefore` seg PR `abs()` DF
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TARGET PUBLICATION-SIMILARITY -Chapter Assessment
  1. Choose the correct alternative. In the given figure, if BC = 3cm and ...

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  2. Choose the correct alternative. In the given figure, if seg PQabs() B...

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  3. Choose the correct alternative. DeltaABC and DeltaPQR are equilateral...

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  4. Choose the correct alternative. In the given figure, if seg PQabs() R...

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  5. In the given figure, ray PT is the bisector of angleQPR. Find the va...

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  6. Are the triangle shown in the figure below similar? If so, by which t...

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  7. Complete the following activities The areas of two triangle with sam...

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  8. In the figure X is any point in the interior of triangle. Point X is j...

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  9. In the adoining figure, A - D - C and B - E -C . Seg DE abs() side AB....

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  10. The ratio of the areas of two triangles with equal height is 3 : 4. B...

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  11. In DeltaPQR seg PM is a median. Angle bisectors of /PMQ and /PMR inter...

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  12. Diagonals of a quadrilateral ABCD intersect in point Q. if 2 QA = QC, ...

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  13. Prove that , "If a line parallel to a side of a triangle intersects th...

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  14. Slove the following questions. In the figure, DeltaADB and DeltaCDB...

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  15. In the given figure, squarePQRS is a square. If DeltaQRT and DeltaPRU ...

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  16. Prove that for a given correspondence, if three angles of one triangle...

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  17. Prove:In a triangle the angle bisector divides the side opposite to th...

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