It is given that ΔABC ~ ΔDEF. If ∠A = 30°, ∠C = 50°, AB = 5 cm, AC = 8 cm and DF = 12 cm, then which of the following is not true?DE = 7.5 cm, ∠F = 50°DE = 7.5 cm, ∠F = 100°EF = 7.5 cm, ∠D = 100°EF = 7.5 cm, ∠D = 30°

Given that ΔABC ~ ΔDEF, we know that the corresponding sides and angles of the two triangles are proportional.

1. ∠A corresponds to ∠D, so ∠D = 30°.
2. ∠C corresponds to ∠F, so ∠F = 50°.
3. AB corresponds to DE, so DE = (DF/AC) * AB = (12 cm / 8 cm) * 5 cm = 7.5 cm.
4. AC corresponds to DF, so DF = (DE/AB) * AC = (7.5 cm / 5 cm) * 8 cm = 12 cm.

From these, we can see that the following statements are true:

• DE = 7.5 cm, ∠F = 50°
• DE = 7.5 cm, ∠F = 100° is not true because ∠F = 50°.
• EF = 7.5 cm, ∠D = 100° is not true because ∠D = 30°.
• EF = 7.5 cm, ∠D = 30° is not true because we don't have enough information to determine the length of EF.

So, the statements "DE = 7.5 cm, ∠F = 100°", "EF = 7.5 cm, ∠D = 100°", and "EF = 7.5 cm, ∠D = 30°" are not true.