https://drive.google.com/file/d/1odNMgKHGyDdQpiHJkrn8Ut_HGEAG-wAP/view?usp=sharing
Its a proof that apparently seems obvious but no one gets right for some reason.
NORT is a parallelogram | Given |
NO=OR=NT=TR | Given |
NORT is a rhombus | definition of rhombus |
OT bisects NR | in a parallelogram, diagonals bisect |
NH=HR | definition of segment bisect |
OH=OH | reflexive property of equality |
triangle NOH=triangleROH | SSS congruency theorem |
OHN=OHR | CPCTC |
OHR+OHN=180 | linear pair |
OHN+OHN=180 | substitution |
2OHN=180 | simplify |
OHN=90, OHR=90 | division property of equality |
OT perpendicular to NR | definition of perpendicular |
I changed your chart a bit to make it more specific. I myself am a geometry student as well so if anyone sees anything that's wrong, don't be afraid to tell me!