1. The problem asks which statement is always true based on the Venn diagram showing the relationship between isosceles and equilateral triangles. 2. The Venn diagram shows that the set of equilateral triangles is completely inside the set of isosceles triangles. 3. This means every equilateral triangle is also an isosceles triangle, but not every isosceles triangle is equilateral. 4. Therefore, the correct statement is: "If a triangle is equilateral, then the triangle must also be isosceles." 5. The other statements are false because: - "If a triangle is isosceles, then the triangle must also be equilateral" is false since some isosceles triangles are not equilateral. - "If a triangle is isosceles, then the triangle will never also be equilateral" is false because equilateral triangles are a special case of isosceles triangles. - "If a triangle is equilateral, then the triangle will not always be isosceles" is false because all equilateral triangles are isosceles. Final answer: If a triangle is equilateral, then the triangle must also be isosceles.