Question

In the given figure ABCD is a rectangle BM and DN are perpendicular to AC from B and D respectively. Prove that AN = CM​

Answer 1

Answer:

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)

Answer 2

Answer:

in triangle a n d and triangle cmb we have ad is equal to BC opposite side of the rectangle ABCD angle DNA is equal to angle BMC 90 degree is angle d a n is equal to angle BCM Ada parallel to bc and ac is conversation and this angles are alternate interial angle triangle