MATH

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

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  1. Draw the diagonal BD and join the mid-points JM.

    Consider the similar triangles ADB and AMJ. Can you prove that MJ (line joining mid-points 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?

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  2. 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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