Answer:
Option (2)
Step-by-step explanation:
Two triangle are similar when,
1). Two or more than two angles of the given triangles are equal in measure.
2). Ratio of the corresponding sides are same.
In the triangles ΔDEF and ΔBAC,
m(∠A) = m(∠E) = 58°
m(∠B) = m(∠D) = 53°
m(∠C) = m(∠F) = 69°
And ratio of the corresponding sides,
[tex]\frac{\text{EF}}{\text{AC}}=\frac{\text{DF}}{\text{BC}}=\frac{\text{DE}}{\text{AB}}[/tex]
[tex]\frac{2.6}{5.2}=\frac{2.8}{5.6}=\frac{3.1}{6.2}[/tex]
[tex]\frac{1}{2}=\frac{1}{2}=\frac{1}{2}[/tex]
Therefore, ΔDEF ~ ΔBAC
Option (2) will be the answer.
