Answer:
B.
,
D.
E.
.
Explanation:
We have been given a triangle. We are asked to choose the valid names for our triangle from the given choices.
We know that labels of the vertices of the triangle are used to name a triangle. In naming triangle, we can start from any vertex and we should keep the letters in order as we go around the triangle.
We can see that vertices of our given triangle are labeled as A, T and X, therefore, we can get three names for our triangle as:
,
and
.
Therefore, options B, D and C are correct choices.