Triangle ABC: Identifying the Side BC in a Given Geometric Figure

Triangle Naming with Vertex Labels

True or false:

BC is a side of triangle ABC.

AAABBBCCC

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine whether BC is a side in the given triangle
00:03 The line connecting the 2 points together is the side
00:06 Given that this line connects A and B together, we shall call it AB
00:09 The same applies to points A,C and B,C
00:12 From this we can observe that BC is a side in the triangle
00:15 This is the solution

Step-by-step written solution

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1

Understand the problem

True or false:

BC is a side of triangle ABC.

AAABBBCCC

2

Step-by-step solution

To solve this problem, we must determine whether BC is indeed a side of triangle ABC. A triangle consists of three vertices connected by three line segments that form its sides.

Firstly, observe the triangle labeled in the diagram with vertices A, B, and C. For triangle ABC, the sides are composed of the segments that connect these points.

  • The three line segments connecting the vertices are:
    • AB AB , connecting points A and B;
    • BC BC , connecting points B and C; and
    • CA CA , connecting points C and A.

Among these, BC is clearly listed as one of the segments connecting two vertices of the triangle. Therefore, BC is indeed a side of triangle ABC.

Hence, the statement is True.

3

Final Answer

True

Key Points to Remember

Essential concepts to master this topic
  • Triangle Definition: Three vertices connected by three line segments forming sides
  • Side Notation: BC connects vertex B to vertex C directly
  • Verification: Count all three sides AB, BC, and CA in the figure ✓

Common Mistakes

Avoid these frequent errors
  • Confusing vertex labels with side names
    Don't think BC means 'from B through C to somewhere else' = missing the direct connection! This ignores that sides are simply the line segments between two vertices. Always remember that BC is the straight line segment connecting points B and C.

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 letters make up a side name?

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Side names use exactly two letters - the vertices that the side connects. For triangle ABC, the sides are AB, BC, and CA.

Does the order of letters in a side name matter?

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No! Side BC is the same as CB - they both represent the line segment connecting points B and C. The order doesn't change which side you're talking about.

What's the difference between a vertex and a side?

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A vertex is a point (like A, B, or C), while a side is a line segment connecting two vertices (like AB, BC, or CA).

How many sides does every triangle have?

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Every triangle has exactly three sides. For triangle ABC, these are AB, BC, and CA - no more, no less!

Can I name a triangle's sides in any order?

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Yes! You can list the sides as AB, BC, CA or BC, CA, AB - any order works as long as you include all three sides of the triangle.

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