Question

ABC is a triangle and M is the midpoint of AC . I and J are points on BM such that AI and CJ are perpendicular to BM . show that triangles AIM and CJM are congruent. ​

Answer 1

Answer:

angleAMI is equal to angle CMJ, since they are vertically opposite angles.

And angle AIM equal to angle CJM,since both are perpendiculars.

Therefore angle IAM equal to angle MCJ( third angle)

Again AM equal to CM ,since M is midpoint.

Therefore by ASA congruence rule triangle AIM congruent to triangle CJM