In a parallelogram ABCD, AB = 10 cm and AD = 6 cm. The bisector of ∠A meets DC in E. AE and BC produced meet at F. Find the length of CF.
Data on some of the public facilities are collected as part of the Census. Discuss with your
teacher when and how the Census is conducted.
A square is inscribed in an isosceles right triangle so that the square and the triangle have one angle common. Show that the vertex of the square opposite the vertex of the common angle bisects the hypotenuse.
Are the above public facilities shared equally by all the people in your area? Elaborate.
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
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