Which of the following options correctly represents the relationship among three groups : triangles (T), equilateral triangles (E), and isosceles triangles (I) ?
- AAll three are completely separate circles
- BT is inside E, and E is inside I
- CE is inside I, and I is inside T
- DE and I are separate circles both inside T
Solution & Step-by-step Explanation
* All equilateral triangles (E) have all three sides equal, meaning they automatically satisfy the condition of having at least two sides equal, making them a subset of isosceles triangles (I). Thus, circle E is inside circle I.
* All isosceles triangles (I) are a type of triangle (T). Thus, circle I is inside circle T.
Therefore, the correct representation is that E is inside I, and I is inside T.
* All isosceles triangles (I) are a type of triangle (T). Thus, circle I is inside circle T.
Therefore, the correct representation is that E is inside I, and I is inside T.