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In a parallelogam ABCD, if the diagonal ...

In a parallelogam ABCD, if the diagonal AC bisects the angle A, then ABCD is a rhombus.

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VGS PUBLICATION-BRILLIANT-QUADRILATERALS-EXERCISE
  1. Show that each angle of a rectangle is a right angle.

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  2. Show that the diagonals of a rhombus are perpendicular to each other.

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  3. In a parallelogam ABCD, if the diagonal AC bisects the angle A, then A...

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  4. Show that the diagonals of a rectangle are of equal length.

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  5. Show that the angle bisectors of a parallelogram form a rectangle.

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  6. Show that the diagonals of a square are equal and right bisectors of e...

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  7. Show that the diagonals of a rhombus divide it into four congruent tri...

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  8. bar(AB) and bar(DC) are two parallel lines and a transversal l ,inters...

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  9. The opposite angles of a parallelogram are (3x-2)^(@) and (x+48)^(@). ...

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

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  11. In the adjacent figure ABCD is a parallelogram and E is the midpoint o...

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  12. In the adjacent figure ABCD is a parallelogram P and Q are the midpoin...

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  13. ABCD is a parallelogram AP and CQ are perpendiculars drawn from vertic...

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  14. ABCD is a square. E, F, G and H are the mid points of AB, BC, CD and D...

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  15. In DeltaABC, D, E and F are the midpoints of sides AB, BC and CA respe...

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  16. l, m and n are three parallel lines intersected by the transversals p ...

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  17. In the Fig. AD and BE are medians of DeltaABC and BE"||"DF. Prove that...

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  18. Show that the figure formed by joining the midpoints of sides of a rho...

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  19. Show that the line segments joining the midpoints of the opposite side...

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  20. ABC is a triangle right angled at 'C'. A line through the midpoint M o...

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