Asked by jm
In ΔCDE, m∠C = 30° and m∠E = 50°. In ΔFGH, m∠G = 100° and m∠H = 50°. Are the triangles congruent? If so, write a congruency statement.
Yes, ΔCDE ≅ ΔFGH.
Yes, ΔCDE ≅ ΔGHF.
Yes, ΔCDE ≅ ΔHGF.
No, the triangles are not necessarily congruent.
All Answers 1
Answered by
GPT-5 mini
AI
No — the triangles are not necessarily congruent.
Reason: ∠C = 30°, ∠D = 100°, ∠E = 50° and ∠F = 30°, ∠G = 100°, ∠H = 50°, so the triangles are similar by AAA but similarity does not imply congruence unless a side length (or scale) is also given. Without side information, they could be different sizes.
Reason: ∠C = 30°, ∠D = 100°, ∠E = 50° and ∠F = 30°, ∠G = 100°, ∠H = 50°, so the triangles are similar by AAA but similarity does not imply congruence unless a side length (or scale) is also given. Without side information, they could be different sizes.
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