If we know the three corresponding sides form the same ratio, then we can use the SSS similarity theorem
If we know that 2 pairs of angles are congruent, then we can use the AA similarity theorem
Finally, if we know that two sides are proportional with the congruent angles between the two sides, then we can use the SAS similarity theorem
See the attached for the final answers
If we know that 2 pairs of angles are congruent, then we can use the AA similarity theorem
Finally, if we know that two sides are proportional with the congruent angles between the two sides, then we can use the SAS similarity theorem
See the attached for the final answers