Question

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 because

Answer 1

The triangles BCD and EFG are similar. Each triangle has angles 69°, 58°, and 53°, so their corresponding angles are equal (for example ∠B = ∠E = 69°, ∠C = ∠F = 58°, ∠D = ∠G = 53°). Therefore the triangles are similar by AA (in fact AAA).