Geometry Problem: Is Line Segment DE Part of the Triangle?

Triangle Side Identification with Line Segments

Is DE side in one of the triangles?
AAABBBCCCDDDEEE

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1

Understand the problem

Is DE side in one of the triangles?
AAABBBCCCDDDEEE

2

Step-by-step solution

Since line segment DE does not correspond to a full side of any of the triangles present within the given geometry, we conclude that the statement “DE is a side in one of the triangles” is Not true.

3

Final Answer

Not true

Key Points to Remember

Essential concepts to master this topic
  • Definition: Triangle sides connect two vertices of the same triangle
  • Technique: Check if line segment connects vertices A-B, B-C, or A-C
  • Verification: Count all triangles present and list their three sides each ✓

Common Mistakes

Avoid these frequent errors
  • Assuming all line segments are triangle sides
    Don't think every line segment in a figure is automatically a side of a triangle = wrong identification! Line segments can be diagonals, altitudes, or other geometric elements. Always check if the segment connects two vertices that form a complete triangle.

Practice Quiz

Test your knowledge with interactive questions

Is DE side in one of the triangles?
AAABBBCCCDDDEEE

FAQ

Everything you need to know about this question

How do I identify what triangles are in this figure?

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Look for three points connected by three line segments that form a closed shape. In this figure, triangle ABC is formed by connecting points A, B, and C.

What makes DE different from the triangle sides?

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DE is a line segment inside the triangle, but it doesn't connect two vertices of triangle ABC. The actual sides are AB, BC, and AC.

Can a line segment be part of multiple triangles?

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Yes! If triangles share vertices, they can share sides too. But in this case, DE doesn't form a side of any triangle in the figure.

How do I know if I've found all the triangles?

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Count systematically: look for every possible combination of three points that are connected by line segments. Make sure each set of three points forms a complete closed triangle.

What if there are more than three points in the figure?

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More points can create multiple triangles! Always check each possible triangle separately and identify its three sides before determining if your line segment belongs to any of them.

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