Triangle Side Identification: Locating Line Segment DF in Given Triangles

Look at the two triangles below.

Is DF a side in one of the triangles?

AAABBBCCCDDDEEEFFF

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1

Understand the problem

Look at the two triangles below.

Is DF a side in one of the triangles?

AAABBBCCCDDDEEEFFF

2

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.

3

Final Answer

Yes.

Practice Quiz

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Fill in the blanks:

In an isosceles triangle, the angle between two ___ is called the "___ angle".

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