If \( \overleftrightarrow{3} \perp \stackrel{M}{M} \), which statement is true? A. \( \overparen{J K} \) and \( E M \) are not in the same plane. B. \( \overleftrightarrow{J K} \) and \( L M \) meet at a straight angle. C. \( 3 \mathbb{K} \) and \( E M \) are coplanar and do not intersect. D. \( \overleftrightarrow{J K} \) and \( \Sigma M \) meet at a right angle.
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Mind Expander
To determine which statement is true given that \( \overleftrightarrow{3} \perp \stackrel{M}{M} \), we need to analyze each option based on the properties of perpendicularity and lines in geometry. A. If \( \overleftrightarrow{3} \) is perpendicular to \( \stackrel{M}{M} \), then it is possible for \( \overparen{JK} \) and \( EM \) to be in the same plane, so this statement is not necessarily true. B. The claim that \( \overleftrightarrow{JK} \) and \( LM \) meet at a straight angle cannot be confirmed just based on the given information about perpendicular lines, so this may not be true. C. Since \( 3K \) and \( EM \) are described as coplanar and do not intersect, this could be a valid conclusion because if one line is perpendicular to a line in a plane, it does not necessarily mean that any other lines in that plane intersect. D. The implication that \( \overleftrightarrow{JK} \) and \( \Sigma M \) meet at a right angle does not directly follow from the perpendicularity condition provided, thus this could also be false. Based on the assessment, the possible statement that could be considered true lies in option C, as it directly addresses the non-intersection of the lines which might likely hold given the perpendicular aspect. However, without additional context, it's difficult to definitively choose the right answer. Always validate based on geometric principles and diagrams when possible!