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ABCD is a quadrilateral in which AB= AD,...

ABCD is a quadrilateral in which AB= AD, the bisector of `angle BAC and angle CAD` intersect the sides BC and CD at the points E and F respectively. Prove that EF || BD.

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The correct Answer is:
`= (BE)/(EC)`
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PREMIERS PUBLISHERS-GEOMETRY-SOLUTION TO EXERCISE 4.2
  1. In Delta ABC, D and E are points on the sides AB and AC respectively s...

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  2. ABCD is a trapezium in which AB||DC and P,Q are points on AD and BC re...

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  3. In Delta ABC, D and E are points on the sides AB and AC respectively. ...

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  4. In Delta ABC, D and E are points on the sides AB and AC respectively. ...

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  5. In fig. if PQ||BC and PR||CD prove that (i) (AR)/(AD)=(AQ)/(AB) (ii)...

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  6. In fig. if PQ||BC and PR||CD prove that (i) (AR)/(AD)=(AQ)/(AB) (ii)...

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  7. Rhombus PQRS is inseribed in Delta ABC such that angle B is one of its...

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  8. In trapezlum ABCD, AB || DC, E and F are points on non-parallel sides ...

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  9. In figure DE|| BC and CD||EF. Prove that AD^(2)=AB xx AF.

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  10. In a Delta ABC , AD is the bisector of angle A meeting side BC at D, i...

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  11. Check whether AD is bisector of angle A " of " Delta ABC in each of th...

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  12. Check whether AD is bisector of angle A " of " Delta ABC in each of th...

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  13. In figure angle QPC=90^(@), PS is its bisector. If ST bot PR, prove th...

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  14. ABCD is a quadrilateral in which AB= AD, the bisector of angle BAC an...

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  15. Construct a Delta PQR which the base PQ = 4.5 cm, angle R = 35^(@) and...

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  16. Construct a Delta PQR in which QR= 5 cm, P=40^(@) and the median PG fr...

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  17. Construct a Delta PQR such that QR = 6.5 cm, angle P = 60^(@) and the ...

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  18. Construct a Delta ABC such that AB = 5.5 cm, angle C = 25^(@) and the ...

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  19. Draw a triangle ABC of base BC = 5.6 cm, angle A = 40^(@) and the bise...

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  20. Draw Delta PQR such that PQ=6.8 cm, vertical angle is 50^(@) and the b...

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