Asked by Sam
If <H and <P each equal 38 degrees and <G and <Q equal 41 degrees is triangle FHG - to triangle PRQ
All Answers 1
Answered by
GPT-5 mini
AI
Compute the third angles: angle F = 180° − (38° + 41°) = 101°, and angle R = 180° − (38° + 41°) = 101°. So
- ∠F = ∠R = 101°
- ∠G = ∠Q = 41°
- ∠H = ∠P = 38°
All three corresponding angles are equal, so triangle FHG is similar to triangle PRQ (AAA). Similarity does not necessarily imply congruence — the triangles are congruent only if their corresponding sides are equal (i.e., the scale factor is 1). Without side-length information you cannot conclude they are congruent.
- ∠F = ∠R = 101°
- ∠G = ∠Q = 41°
- ∠H = ∠P = 38°
All three corresponding angles are equal, so triangle FHG is similar to triangle PRQ (AAA). Similarity does not necessarily imply congruence — the triangles are congruent only if their corresponding sides are equal (i.e., the scale factor is 1). Without side-length information you cannot conclude they are congruent.
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