Based on the steps provided in your question, it seems that the construction is likely referring to either an angle bisector or a perpendicular bisector. However, you have not provided specific details about the steps taken in the construction.
If the construction involves:
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Finding the middle point of a line segment and then drawing a line perpendicular to that segment at the midpoint, it is identifying a perpendicular bisector.
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If it involves creating two equal angles from a given angle, it is identifying an angle bisector.
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If the steps are about ensuring lines are at 90 degrees with respect to another line, it indicates perpendicular lines.
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If lines are being extended that never meet, they indicate parallel lines.
To provide a definitive classification, I would need more information about the exact steps being followed. However, based on the generic terms mentioned, you can match the definition accordingly.