Problems marked (Euclidean) are to be done in Euclidean geometry (assuming the Euclidean parallel postulate and its consequences).

(Euclidean) Let a denote the reflection in line a, and A denote the half-turn rotation around point A.

(a) If B is a point not on line a, what type of motion is Ba?

(b) If d is the distance between B and a, explicitly describe the motion Ba.

(Euclidean) Let Ma denote the reflection in line a, and o A denote the half-turn rotation around point A. (a) If B is a point not on line a, what type of motion is o Bla? (b) If d is the distance between B and a, explicitly describe the motion o Bha: (Euclidean) Let Ma denote the reflection in line a, and o A denote the half-turn rotation around point A. (a) If B is a point not on line a, what type of motion is o Bla? (b) If d is the distance between B and a, explicitly describe the motion o Bha