Answer:
option B) ΔABE ∼ ΔADC
Step-by-step explanation:
The picture of the question in the attached figure
we know that
If two triangles are similar, then its corresponding sides are proportional and its corresponding angles are congruent
In this problem
Triangles ABE and ADC are similar by AA Similarity Theorem
because
m∠ ABE≅m∠ADC
m∠ BAE≅m∠DAC
The corresponding sides are
AB and AD
BE and DC
AE and AC
so
[tex]\frac{AB}{AD}=\frac{BE}{DC}=\frac{AE}{AC}[/tex]
