Which is the best definition of a triangle? A. A figure formed by three segments connecting three noncollinear points B. A figure formed by four segments connecting four noncollinear points C. A figure formed by four collinear points D. A figure formed by three parallel segments
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Answer

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Step 1:
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Step 2:
: Analyze the definition of a triangle

A triangle is a two-dimensional geometric shape with specific characteristics: - It must be formed by line segments - It requires exactly three points - These points must NOT be on the same straight line (noncollinear)

Step 3:
: Evaluate each option carefully

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- Contains exactly three segments - Requires points to be noncollinear - Matches the precise mathematical definition of a triangle - Contains four segments - This describes a quadrilateral, NOT a triangle - Incorrect definition - Points are on the same line - Cannot form a closed shape - Incorrect definition - Parallel segments cannot enclose a two-dimensional area - Incorrect definition

Final Answer

A figure formed by three segments connecting three noncollinear points