Question

Which condition proves that AARC NAALT ? 1 AR RC AR AL AC AT ZRAC S ZLATLARC = LALT AL LT

Answer 1

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:

`(AR)/(AL)=(RC)/(LT)=(AC)/(AT)`

The corresponding anlges in proportional trainlges are also equal, then:

Other condition that makes the triangles proportional is:

`\angle ARC\cong\angle ALT`
`\angle RAC\cong\angle LAT`
`\angle CAR\cong\angle\text{TAL}`

Then, all the options you have make the traingles be proportional.