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Show that the diagonals of a rhombus div...

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

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In DeltaABC, D, E and F are the midpoints of sides AB, BC and CA respectively. Show that DeltaABC is divided into four congruent triangles, when the three midpoints are joined to each other. (ΔDEF is called medial triangle)

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VGS PUBLICATION-BRILLIANT-QUADRILATERALS-EXERCISE
  1. Show that the angle bisectors of a parallelogram form a rectangle.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Sum of the angles in a quadrilateral is ……….

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  19. Fill in the blank:In a quadrilateral one pair of opposite sides are pa...

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  20. square ABCD is a trapezium in which AB////CD ,if angleA = 45^@,then a...

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