Question

Prove that triangle AOC ≅traingle BOD,where angle C=angle D =90 dgree and AC=BD.

Answer 1

In triangle AOC and triangle BOD we have,
AC=BD
angle ACO= angle BDO ( each 90°)
angle COA= angle BOD ( vertically opposite angle)
Therefore triangle AOC~= triangle BOD ( AAS congruence rule)