Question

in the adjacent figure ABCD is a rectangle,if BM and DN in a perpendicular from B and D on AC. Prove that triangle BMC congruent triangle DNA is it true that BM is equals to DM.

Answer 1

the answer is in the photo

Answer 2

In triangle BMC and triangle DNA

BC =AD(opposite sides of rectangle are equal)

Angle BCM=Angle MAD(Alternate angles)

Angle BMC =Angle DNA (BM and DN perpendicular to AC)

Therefore triangle BMC congruent to triangle DNA

Therefore BM =DN (cpct)

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