Based on the image you sent, the only correct similarity statement for the two triangles is: D) △ORA ≅ △GEN
Here's why:
Corresponding sides are proportional:
OR = GE (both sides labeled with a single line segment)
RA = GN (both sides labeled with a single line segment)
OA = EN (both sides labeled with two line segments)
Matching angles:
Angle A in △ORA is congruent to Angle G in △GEN (both marked with a double angle symbol)
Therefore, by the Side-Side-Side (SSS) similarity criterion, △ORA is similar to △GEN.
The other options are incorrect because:
A) △ORA-△NGE: Sharing only side OR and angle A is not enough for similarity.
B) △ORA-△ENG: Sharing only side OA and angle A is not enough for similarity.
C) △ORA-△GNE: Sharing only side GE and angle A is not enough for similarity.