Question

in a rectangle ABCD BM and DN are perpendiculars from B and D respectively on AC shows that triangle B and C congruent to triangle DNA​

Answer 1

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)