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If A B C D is a quadrilateral in which A...

If `A B C D` is a quadrilateral in which `A B C D` and `A D=B C ,` prove that `/_A` =`/_B`.

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To prove that ∠A = ∠B in the quadrilateral ABCD where AB is parallel to CD and AD = BC, we can follow these steps: ### Step 1: Identify the given information We are given that: - AB is parallel to CD (AB || CD) - AD = BC ### Step 2: Draw a line parallel to AD ...
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RD SHARMA-QUADRILATERALS-All Questions
  1. P Q R S is a parallelogram. P X and QY are respectively, the perpendic...

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  2. A B C D is a parallelogram. A B is produced to E so that B E=A B . Pro...

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  3. If A B C D is a quadrilateral in which A B C D and A D=B C , prove th...

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  4. Find the measure of all the angles of a parallelogram, if one angle is...

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  5. The perimeter of a parallelogram is 22c mdot If the longer side measur...

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  6. In Figure, A B C D is a parallelogram in which P is the mid-point of D...

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  7. A B C is a triangle. D is a point on A B such that A D=1/4A B and E is...

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  8. Show that the line segments joining the mid-points of the opposite s...

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  9. In Figure, A N and C P are perpendicular to the diagonal B D of a para...

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  10. Given A B C, lines are drawn through A , B and C parallel respectivel...

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  11. In a parallelogram A B C D ,/D=115^@, determine the measure of /A and ...

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  12. In a parallelogram A B C D , prove that sum of any two consecutive ang...

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  13. A B C D is a parallelogram andline segments A X ,C Y bisect the angles...

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  14. In a parallelogram A B C D diagonals A C and B D intersect at O and A ...

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  15. In a parallelogram, the bisectors of any two consecutive angles inte...

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  16. The diagonals of a parallelogram bisect each other.

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  17. The angle bisectors of a parallelogram form a rectangle.

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  18. If diagonal of a parallelogram bisects one of the angles of the par...

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  19. Show that the quadrilateral, formed by joining the mid-points of the ...

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  20. The diagonals of a quadrilateral A B C D are perpendicular. Show that ...

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