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
00:05 Let's find out if A B is a side of triangle A B D.
00:10 First, we'll check each side of the triangle.
00:14 Remember, a side is the line between two points. We use letters to label it.
00:20 Great job! That's how we find a side in the triangle.

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

Can a triangle have a right angle?

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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