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In a quadrilateral ABCD, AB = CD and an...

In a quadrilateral ABCD, AB = CD and ` angle B = angle C .` Prove that
AD is parallel to BC.

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ICSE-CHAPTERWISE REVISION (STAGE 1) -Rectillinear figures
  1. In a quadrilateral ABCD, angles A, B, C and D are in the ratio 3:2:1:4...

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  2. In a quadrilateral ABCD, AB = CD and angle B = angle C . Prove that ...

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  3. In a quadrilateral ABCD, AB = CD and angle B = angle C . Prove that ...

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  4. In the diagram below, P and Q are midpoints of sides BC and AD respect...

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  5. ABCD is a parallelogram. If AB = 2AD and P is the mid-point of CD, pro...

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  6. Construct a parallelogram ABCD in which diagonal AC = 6-3 cm, diagonal...

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  7. Construct a rhombus whose diagonals are 4.7 cm and 5-4 cm.

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  8. In a parallelogram ABCD, P is a point on side AD such that 3AP = AD an...

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  9. The following figure shows a parallelogram ABCD. Use the given inform...

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  10. The angles of a quadrilateral are equal. Prove that the quadrialteral ...

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  11. The given figures shows a kite- shaped figure whose diagonals interse...

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  12. In a parallelogram, prove that the bisectors of any two consecutive an...

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  13. Two opposite angles of a parallelogram are (6x - 17^(@) ) and (x + 63)...

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  14. The diagonals of a rectangle intersect each other at right angles. Pro...

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  15. M and N are the points of trisection of the diagonal BD of a parallelo...

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  16. Find the angles of the parallelogram ABCD, If angle A , angle B = ...

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  17. Find the angles of the parallelogram ABCD, if angle C = (2)/(3) ...

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  18. Construct a quadrilateral ABCD with angle B = angle C = 75^(@) , BC...

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  19. Construct a parallelogram ABCD with diagonals 6.3 cm and 5.6 cm ...

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  20. Construct a squre ABCD with AC = 6.2 cm.

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