The figure shows triangle R E P. Point A lies on side R E. Point M lies on side R P. The length of segment R A is 4 units. The length of segment A E is 12 units. The length of segment R M is 2 units. The length of segment M P is 6 units. Angle R A M is congruent to angle R E P.
ΔRAM ~ ΔREP by AA~ or SAS~
ΔRAM ~ ΔREP by SAS~ or SSS~
ΔRAM ~ ΔREP by AA~ or SSS~
The triangles are not necessarily similar.