You need to find the condition that makes that triangle ARC and triangle ALT be proportional (~).
Two tringles are proportional when the ratio between the corresponding sides in each triangles are equals:
The corresponding sides are:
AL and AR
AT and AC
LT and RC
Then, one condition that makes the triangles proportional is:
[tex]\frac{AR}{AL}=\frac{RC}{LT}=\frac{AC}{AT}[/tex]
The corresponding anlges in proportional trainlges are also equal, then:
Other condition that makes the triangles proportional is:
[tex]\angle ARC\cong\angle ALT[/tex][tex]\angle RAC\cong\angle LAT[/tex][tex]\angle CAR\cong\angle\text{TAL}[/tex]
Then, all the options you have make the traingles be proportional.
