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In the figure, a point O inside triangle...

In the figure, a point O inside `triangleABC` is joined to its vertices. From a point D on AO, DE is drawn parallel to AB and from a point E on BO, EF is drawn parallel to BC. Prove that DF || AC.

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CBSE COMPLEMENTARY MATERIAL-TRIANGLE-Short Answer Type Questions-II
  1. In the given figure, DE || AC. Which of the following is correct? x=(...

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  2. Prove that the sum of the squares of the sides of a rhombus is equa...

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  3. A street light bulb is fixed on a pole 6 m above the level of the stre...

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  4. Two poles of height a metres and b metres are p metres apart. Prove th...

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  5. In the given figure AB || PQ || CD, AB=x, CD=y and PQ=z. Prove that 1/...

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  6. In the given figure (PS)/(SQ)=(PT)/(TR) and anglePST = anglePRQ. Prove...

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  7. In the figure, a point O inside triangleABC is joined to its vertices....

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  8. Two triangles B A Ca n dB D C , right angled at Aa n dD respectively, ...

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  9. The Hypotenuse of a right triangle is 25 cm and out of the remaining t...

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  10. In the given figure DE || AC and (BE)/(EC)=(BC)/(CP). Prove that DC |...

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  11. In a quadrilateral ABCD, angleB=90^(@) and AD^(2)= AB^(2) + BC^(2)+CD^...

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  12. In the given figure, DE || BC, DE= 3 cm, BC = 9 cm and ar (DADE) = 30c...

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  13. In an equilateral triangle ABC, D is a point on side BC such that B D=...

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  14. Ii DeltaPQR, PDbotQR such that D lies on QR, if PQ=a,PR=b,QD=c and DR=...

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  15. The ratio of the the areas of two similar triangles is equal to the ra...

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  16. In the given figure, the line segment XY is Parallel to AC of ΔABC and...

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  17. Through the vertex D of a parallelogram ABCD, a line is drawn to inter...

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  18. Theorem 6.9 : In a triangle, if square of one side is equal to the sum...

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  19. Prove that is a right angle triangle, the square of the hypotenuse is ...

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  20. Theorem 6.1 : If a line is drawn parallel to one side of a triangle to...

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