Is abc~def? If so, identify the similarity postulate or theorem that applies.

Answer:Similarity cannot be determined ⇒ answer DStep-by-step explanation:* Lets revise the cases of similarity1) AAA similarity : two triangles are similar if all three angles in the first   triangle equal the corresponding angle in the second triangle - Example : In ΔABC and ΔDEF, m∠A = m∠D, m∠B = m∠E and  m∠C= m∠F then ΔABC ≈ ΔDEF by AAA 2) AA similarity : If two angles of one triangle are equal to the    corresponding angles of the other triangle, then the two triangles    are similar.- Example : In ΔPQR and ΔDEF, m∠P = m∠D, m∠R = m∠F then   ΔPQR ≈ ΔDEF by AA 3) SSS similarity : If the corresponding sides of two triangles are    proportional, then the two triangles are similar.- Example : In ΔXYZ and ΔLMN, if [tex]\frac{XY}{LM}=\frac{YZ}{MN}=\frac{XZ}{LN}[/tex]   then the two triangles are similar by SSS 4) SAS similarity : In two triangles, if two sets of corresponding sides    are proportional and the included angles are equal then the two    triangles are similar.- Example : In triangle ABC and DEF, if m∠A = m∠D and [tex]\frac{BA}{ED}=\frac{CA}{FD}[/tex]   then the two triangles are similar by SAS* Now lets solve the problem- In the triangles ABC and DEF∵ m∠B = m∠E = 105°∵ AB/DE = 16/4 = 4∵ AC/DF = 36/9 = 4∴ AB/DE = AC/DF = 4∴ The two pairs of sides are proportion∵ ∠B and ∠E are not the including angles between the sides AB , AC   and DE , DF∵ We could not find the including angles from the information of the   problem∴ We cannot prove the similarity* Similarity cannot be determined