Triangle ABD: Analyzing Side Properties and Point Relationships

Triangle Side Identification with Vertex Connections

Mark the correct answer.

AB is the side of triangle ABD.

AAABBBCCCDDD

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine whether AB is a side in the given triangle ABD
00:03 Proceed to check all the sides
00:06 A side is the segment between 2 vertices, and we mark it with letters
00:15 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Mark the correct answer.

AB is the side of triangle ABD.

AAABBBCCCDDD

2

Step-by-step solution

To solve this problem, consider the following:

  • The figure provided illustrates a triangle labeled ABD. In a triangle, the sides are defined as the line segments connecting its vertices.
  • In triangle ABD, the vertices are points A, B, and D.
  • The sides of this triangle are the segments AB, AD, and BD.
  • Since AB is a direct connection between vertices A and B, it is indeed one of the sides of triangle ABD.

After analyzing the figure and definition of a triangle's sides, we can conclude that the answer is correct.

Therefore, the correct answer is True.

3

Final Answer

True

Key Points to Remember

Essential concepts to master this topic
  • Rule: Triangle sides are segments connecting any two vertices
  • Technique: Identify vertices A, B, D to confirm AB connects them
  • Check: Count three sides AB, AD, BD in triangle ABD ✓

Common Mistakes

Avoid these frequent errors
  • Confusing triangle name order with actual sides
    Don't assume AB isn't a side because the triangle is named ABD instead of ABC = missing the point! The triangle name just lists the three vertices. Always identify that any segment connecting two vertices of a triangle is automatically a side of that triangle.

Practice Quiz

Test your knowledge with interactive questions

Is the straight line in the figure the height of the triangle?

FAQ

Everything you need to know about this question

How do I know which segments are sides of a triangle?

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A triangle's sides are the three line segments that connect its vertices. In triangle ABD, the sides are AB, AD, and BD - any segment connecting two of the three vertices A, B, and D.

Does the order of letters in the triangle name matter?

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No! Whether you call it triangle ABD, ADB, or BAD, it's the same triangle. The name just tells you which three points are the vertices - the order doesn't change which segments are sides.

What if there are extra points shown in the diagram?

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Focus only on the vertices of the specific triangle mentioned in the question. In this case, triangle ABD has vertices A, B, and D, so point C doesn't affect which segments are sides of triangle ABD.

How can I be sure AB is really a side?

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Look at the diagram and verify that points A and B are both vertices of triangle ABD. Since they are, the segment AB connecting them must be one of the three sides of the triangle.

What makes this a true or false question?

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You need to determine whether the statement 'AB is the side of triangle ABD' is correct. Since A and B are vertices of triangle ABD, and AB connects these vertices, the statement is True.

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