A diagonal of a parallelogram bisects one of its angle. Prove that it will bisect its opposite angle also.
Show that the quadrilateral formed by joining the mid-points the sides of a rhombus, taken in order, form a rectangle
Do you think the distribution of public facilities in our country is adequate and fair? Give an
example of your own to explain.
PQ and RS are two equal and parallel line-segments. Any point M not lying on PQ or RS is joined to Q and S and lines through P parallel to QM and through R parallel to SM meet at N. Prove that line segments MN and PQ are equal and parallel to each other
Why are most of the private hospitals and private schools located in major cities and not in
towns or rural areas?
How is the sale of water by farmers to water dealers in Chennai affecting the local people? Do
you think local people can object to such exploitation of ground water? Can the government do
anything in this regard?
D, E and F are the mid-points of the sides BC, CA and AB, respectively of an equilateral triangle ABC. Show that ∆ DEF is also an equilateral triangle.
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