Select from the drop-down menu to correctly complete the statement about the given figures.

Triangles ABC and DEF are (similar or not similar)

ΔABC and ΔDEF are similar by AAA similarity.

Solution:

Sum of the interior angles = 180°

In triangle ABC,

60° + 60° + m∠C = 180°

120° +m∠C = 180°

Subtract 120° from both sides, we get

m∠C = 60°

In triangle DEF,

60° + 60° + m∠F = 180°

120° +m∠F = 180°

Subtract 120° from both sides, we get

m∠F = 60°

Consider ΔABC and ΔDEF,

∠A ≅ ∠D

∠B ≅ ∠E

∠C ≅ ∠F

Therefore by AAA similarity ΔABC ≅ ΔDEF.

ΔABC and ΔDEF are similar triangles.