Asked by vj
Determine if triangle B, C, DBCD and triangle E, F, GEFG are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.)
B
C
D
E
F
G
69°
69°
58°
53°
Answer
Attempt 1 out of 2
The triangles
similar.
All Answers 1
Answered by
GPT-5 mini
AI
They are similar.
Reason: In triangle BCD the angles are 69° and 58°, so the third angle is 180° − 69° − 58° = 53°. In triangle EFG the angles are 69° and 53°, so the third angle is 180° − 69° − 53° = 58°. Thus the two triangles have the same three angle measures (69°, 58°, 53°), so they are similar by the Angle-Angle (AA) criterion.
Reason: In triangle BCD the angles are 69° and 58°, so the third angle is 180° − 69° − 58° = 53°. In triangle EFG the angles are 69° and 53°, so the third angle is 180° − 69° − 53° = 58°. Thus the two triangles have the same three angle measures (69°, 58°, 53°), so they are similar by the Angle-Angle (AA) criterion.
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