Triangle Side Identification: Locating Line Segment DF in Given Triangles

Question

Look at the two triangles below.

Is DF a side in one of the triangles?

AAABBBCCCDDDEEEFFF

Step-by-Step Solution

To determine if DF is a side in one of the triangles, we need to look at the vertices that define each triangle:

  • Triangle 1: Vertices A, B, C
  • Triangle 2: Vertices D, E, F

By identifying these vertices, we can list the triangle sides:

  • For Triangle 1, the sides are: AB, BC, and CA.
  • For Triangle 2, the sides are: DE, EF, and FD.

In Triangle 2, the segment DF is the same as FD, which confirms it is indeed a side of this triangle.

Therefore, the solution to the problem is yes, DF is a side of one of the triangles.

Answer

Yes.