Question

ABCD is a parallelogram in which am and cm are perpendicular from vertices a and c respectively on the diagonal BD show that 1) triangle amb is congurent to triangle cnd 2) am=cn​

Answer 1

Answer:

In triangles AMD and CNB

AD=BC(opposite sides of a parallelogram)

∠AMB=∠CNB=90

∘

∠ADM=∠NBC since AD∥BC and BD is the transversal.

So, △AMD≅△CNB by AAS