Question

T is a translation along ray R S of distance RS. P is a point in the plane, and P prime is the image of P.



Choose ,begin emphasis,all,end emphasis, the statements which should be included in a definition of a translation T.

Answer options with 6 options
A.
the measure of angle P R S is equal to the measure of angle P prime R S
 

B.
Translations preserve distance.

C.
Translations preserve angle measure.

D.
If P lies on Line R S, then P prime also lies on line R S.

E.
If P does not lie on line R S, then line P P prime is parallel to Line R S.

F.
segment P P prime and segment R S have the same length and same direction.

Answer 1

B, C, D, E, F.

Brief justification: a translation by vector →RS moves every point by the same vector →RS, so PP' = RS (same length and direction) and PP' is parallel to RS; points on line RS remain on it; translations are isometries and preserve distances and angle measures. Statement A is not generally true.