In rectangle ABCD, ab = 2BC, M is the midpoint of ab
∵ m is the midpoint of ab
| am = BM = half of AB (half can't play)
And ∵ AB = 2BC ∵ BC = half of ab
That is: BM = BC
And ∵ ∠ B = 90 °∵ △ BMC is isosceles right triangle
∴∠MCB=∠CMB=45°
Similarly, amd = 45 degree
And ∵ ∠ DMC = 180 ° - ∠ amd - ∠ BMC (= 180 ° - 45 ° - 45 ° = 90 °)
∴∠DMC=90°
∴MC⊥MD
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