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In Figure, A B C is an isosceles triangl...

In Figure, `A B C` is an isosceles triangle in which `A B=A Cdot and C P||A B` and `A P` is the bisector of exterior `/_C A D` of ` A B C` . Prove that `/_P A C=/_B C A` and (ii) `A B C P` is a parallelogram.

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RD SHARMA ENGLISH-QUADRILATERALS-All Questions
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  2. In Figure, A B C D is a parallelogram and X\ a n d\ Y are points on th...

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  3. In Figure, A B C is an isosceles triangle in which A B=A Cdot and C P|...

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  4. In Figure, X ,Y are the mid-points of opposite sides A B and D C of a ...

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  5. Two segments A C and B D bisect each other at O . Prove that A B C D i...

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  6. Each of the angles of a square is a right angle and each of the four ...

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  7. The diagonals of a rectangle are of equal length.

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  8. If the diagonals of a quadrilateral bisect each other, then the qua...

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  9. A quadrilateral is parallelogram if its opposite angles are equal.

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  10. A quadrilateral is a parallelogram if its opposite sides are equal.

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  11. In Figure, A B C D is a parallelogram in which /A=60^0 . If the bisect...

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

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

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

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  15. A quadrilateral is a parallelogram, if its one pair of opposite sides ...

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  16. In Figure, A B C D is a parallelogram and X ,Y are the mid=points of s...

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  17. In a triangle A B C median A D is produced to X such that A D=D Xdot P...

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  18. In Figure, P Q R S is a parallelogram, P O and Q O are, respectively, ...

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  19. The diagonals of a parallelogram A B C D intersect at OdotA line throu...

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  20. A B C D is a parallelogram and /D A B=60^0dot If the bisectors A P and...

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