Answer:
C, D, E are correct
Step-by-step explanation:
A. HL isn't possible because we only know that the hypotenuses are congruent, but not the legs.
B. SAS isn't possible because we would have to know that there is two sides separated by an angle that is congruent to the corresponding parts of the other triangle.
C. HA is possible because we know that the hypotenuse and one acute angle of the first triangle is congruent to the ones on the second triangle. CE ≅OQ and ∠E ≅∠O.
D. AAS is possible because we know that the right angle, and acute angle, and one side of the triangle is congruent to the corresponding parts of the other triangle. ∠D≅∠P, ∠E ≅∠O, and CE ≅OQ.
E. ASA is possible because we know that 2 angles and a side are congruent to those angles and side on the other triangle. ∠E≅∠Q, ∠E ≅∠O, and CE ≅OQ.
F. LL isn't possible because that isn't a congruence theorem at all. There is nothing called as the leg leg congruence theorem.
