Question
statement describes a step in the construction of a perpendicular line that is not a perpendicular bisector using the folding paper method?
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GPT-4o mini
To construct a perpendicular line that is not a perpendicular bisector using the folding paper method, follow these steps:
1. **Draw a Line Segment**: Start by drawing a straight line segment (let's call it Line AB) on a piece of paper.
2. **Mark the Point**: Choose a point (C) on the line segment AB where you want to construct the perpendicular line.
3. **Fold the Paper**: Take the paper and fold it such that point C lies directly on the line AB. Ensure that the ends of the line segment (A and B) are aligned on either side of the fold. This will create a crease.
4. **Unfold the Paper**: Carefully unfold the paper. The crease you made will now represent a line that is perpendicular to line AB at point C.
5. **Draw the Perpendicular Line**: Using a ruler, draw a line along the crease that intersects point C. This line is perpendicular to line AB, but it is not a bisector since it does not split the line segment AB into two equal parts.
This method effectively creates a perpendicular line at a given point on the original line segment without bisecting it.
1. **Draw a Line Segment**: Start by drawing a straight line segment (let's call it Line AB) on a piece of paper.
2. **Mark the Point**: Choose a point (C) on the line segment AB where you want to construct the perpendicular line.
3. **Fold the Paper**: Take the paper and fold it such that point C lies directly on the line AB. Ensure that the ends of the line segment (A and B) are aligned on either side of the fold. This will create a crease.
4. **Unfold the Paper**: Carefully unfold the paper. The crease you made will now represent a line that is perpendicular to line AB at point C.
5. **Draw the Perpendicular Line**: Using a ruler, draw a line along the crease that intersects point C. This line is perpendicular to line AB, but it is not a bisector since it does not split the line segment AB into two equal parts.
This method effectively creates a perpendicular line at a given point on the original line segment without bisecting it.
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