I can't draw the figure

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In square ABCD, M is the midpoint of line AB. A line perpendicular to line MC of M meets line AD at K. Prove that angle BCM is congruent to angle KCM.

Also Prove that triangle KDC is a 3-4-5 right triangle.
 
:( Duplicate Post on "Math Goodies" - Answered there.
 
TKH, please double check your reply there.
 
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