How many types of congruence criterion are in total. Name them​

Various types of Congruency are:

1. ASA (Angle Side Angle)

2. SSS (Side Side Side)

3. SAS (Side-Angle-Side)

4. AAS (Angle-Angle-Side)

5. RHS (Right angle-Hypotenuse-Side)

As of what I had learned (class 9) this is all but I am not sure if there are more

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.