Question

latrell will rotate △abc 180° about one of the labeled points. latrell says, “the image will only touch the pre-image at exactly one point.” which points could be his center of rotation? select each correct answer. point a point b point c point d point e point f

Answer 1

Remember, the sides are labelled with lower case letters, and angles are labelled with CAPITAL letters.  The angles are labelled with the CAPITAL letter that is opposite from the side with that letter. 
so: 
Angle A is opposite side a
Angle B is opposite side b
Angle C is opposite side c