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

angle DCA=angle CAB as they are interior oppopsite angles................(1)
therefore,DN=BM as they opposite to equal angles...............(2)
angle DMC =angleBNA (given)
........(3)
from (1)(2)and(3)
We get that triangle DMC=triangle BNA


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