MATH
posted by MOLETE .
in rectangle ABCD:points J,K,L and M are the midpoints of sides AB,BC,CD and DA respectively: AB=24cm andAD=10cm . what kind of quadrilateral is JKLM?

Draw the diagonal BD and join the midpoints JM.
Consider the similar triangles ADB and AMJ. Can you prove that MJ (line joining midpoints of AD and AB) is parallel to DB?
Can you repeat with triangles CBD and conclude that MJ is parallel to LK?
Similarly can you prove that ML is parallel to JK? 
What is the most precise name for quadrilateral ABCD with vertices A(5, 1), B(5, 3), C(2, 3), and D(2, 1)?
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