Answer:
Part A
Please see the attached drawings.
Part B
Pythagoras' Theorem: a² + b² = c²
applicable to a right triangle, where:
- a and b are the legs
- c is the hypotenuse (longest side opposite the right angle)
Therefore,
⇒ DE² + EF² = DF²
Part C
As you have not given the options for each drop down selection, it is difficult to determine if you have selected the correct option for each. There may be more correct/appropriate answers to some of the options you have selected.