NEED HELP WITH 6. Posted 5 because it helps solve 6. Thanks.

let T: RP'_Rip' be an invertible transformation Show that the following properties are equivalent: (a) T is a fractiond-linear transformation (6) [T(P), 7(); 7(6),7181] = [p.9; ms] for acay four tuple of points Peq, ris EIRIP! Fix Hexactit a circle C AXXX SMA and 2 arbitrary peints MINEC. Take an arbitrary line LC IR? and consider a transformation P: Lul defined as follows: M M X For P(x) every Xel, let y be the intersection peint of C with the line MX different from 'M. Then P(x) is the intersection point of L with the line NY. show that P is a fractional-linear traus formation. (Hint: use #5] let T: RP'_Rip' be an invertible transformation Show that the following properties are equivalent: (a) T is a fractiond-linear transformation (6) [T(P), 7(); 7(6),7181] = [p.9; ms] for acay four tuple of points Peq, ris EIRIP! Fix Hexactit a circle C AXXX SMA and 2 arbitrary peints MINEC. Take an arbitrary line LC IR? and consider a transformation P: Lul defined as follows: M M X For P(x) every Xel, let y be the intersection peint of C with the line MX different from 'M. Then P(x) is the intersection point of L with the line NY. show that P is a fractional-linear traus formation. (Hint: use #5]