6 a) Prove that if (li) and (12) are two parallel lines with distance d between them, then Mizo M1, is a translation by an amount 2d in the direction from (li) to (12), perpendicular to those lines. Consider only the case when P is between (li) and (12). What other cases we should consider for a complete proof? b) Explain the following statement: the translation from a) depends only on the direction of the paral- lel lines and their distance apart. were based 16 This result was proved in class. Both proofs based on the fact that an isonetiny is uniquelly determined by its action on three non-collinear pa and we made particular choices for these points Here we will use the definition and we'll simply prove that &PE (IT) : (Mero Me, ) (P)= T (P)' where (...) pil . ry 1 1 (L) elu) }" { Cla c y (4) ARA Os:0 (11) 6 a) Prove that if (li) and (12) are two parallel lines with distance d between them, then Mizo M1, is a translation by an amount 2d in the direction from (li) to (12), perpendicular to those lines. Consider only the case when P is between (li) and (12). What other cases we should consider for a complete proof? b) Explain the following statement: the translation from a) depends only on the direction of the paral- lel lines and their distance apart. were based 16 This result was proved in class. Both proofs based on the fact that an isonetiny is uniquelly determined by its action on three non-collinear pa and we made particular choices for these points Here we will use the definition and we'll simply prove that &PE (IT) : (Mero Me, ) (P)= T (P)' where (...) pil . ry 1 1 (L) elu) }" { Cla c y (4) ARA Os:0 (11)