Diagonals of a Rectangle Bisect Each-Other and Are Equal
ABCD is a qua...
Question
ABCD is a quadrilateral in which P, Q,R and S are mid-points of the sides AB, BC, CD and DA ( see the given figure). AC is a diagonal. Show that:
SR || AC and SR = 12AC.
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Solution
In ΔADC, S and R are the mid-points of sides AD and CD respectively. In a triangle, the line segment joining the mid-points of any two sides of the triangle is parallel to the third side and is half of it.
SR || AC and SR = 12AC …….(1)