Question
Question
Step 1 A horizontal line segment is drawn, with the endpoints labeled upper L and upper D, left to right. A pencil is shown above segment upper L upper D with its tip pointed towards the left of point upper D.
Step 2 A horizontal line segment upper L upper D is drawn left to right. A left-to-right slanted line intersects segment upper L upper D at point upper E. Point upper U is labeled on the line above and between upper L and upper D.
Step 3 Horizontal line segment upper L upper D is drawn left to right. A left-to-right slanted line intersects segment upper L upper D at point upper E and extends indefinitely in either direction.
Step 4 Horizontal line segment upper L upper D is drawn left to right. A left-to-right slanted line intersects segment upper L upper D at point upper E and extends indefinitely in either direction. Two arcs are drawn.
Determine the type of construction being done from the steps shown.
(1 point)
Responses
perpendicular lines
perpendicular lines
parallel lines through a point not on the given line
parallel lines through a point not on the given line
perpendicular bisector
perpendicular bisector
angle bisector
angle bisector
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Step 1 A horizontal line segment is drawn, with the endpoints labeled upper L and upper D, left to right. A pencil is shown above segment upper L upper D with its tip pointed towards the left of point upper D.
Step 2 A horizontal line segment upper L upper D is drawn left to right. A left-to-right slanted line intersects segment upper L upper D at point upper E. Point upper U is labeled on the line above and between upper L and upper D.
Step 3 Horizontal line segment upper L upper D is drawn left to right. A left-to-right slanted line intersects segment upper L upper D at point upper E and extends indefinitely in either direction.
Step 4 Horizontal line segment upper L upper D is drawn left to right. A left-to-right slanted line intersects segment upper L upper D at point upper E and extends indefinitely in either direction. Two arcs are drawn.
Determine the type of construction being done from the steps shown.
(1 point)
Responses
perpendicular lines
perpendicular lines
parallel lines through a point not on the given line
parallel lines through a point not on the given line
perpendicular bisector
perpendicular bisector
angle bisector
angle bisector
Skip to navigation
Answers
GPT-4o mini
Based on the description of the steps provided, the construction is related to the intersection of a slanted line with a horizontal line segment and the use of arcs. Here’s a breakdown of the key details:
- In Step 2 and beyond, there is a horizontal line segment \( LD \) with a slanted line intersecting it at point \( E \).
- The description of arcs being drawn in Step 4 suggests that the construction is focusing on creating equal angles or measuring distances from point \( E \) to points above and below the line segment.
From this information, the likely type of construction being conducted is related to creating the **angle bisector** of the angles formed by the intersection of the slanted line with the horizontal line segment. The arcs drawn are typically a method for constructing angle bisectors, as they help to identify points that are equidistant from the sides of the angle.
Thus, the answer would be:
**angle bisector**
- In Step 2 and beyond, there is a horizontal line segment \( LD \) with a slanted line intersecting it at point \( E \).
- The description of arcs being drawn in Step 4 suggests that the construction is focusing on creating equal angles or measuring distances from point \( E \) to points above and below the line segment.
From this information, the likely type of construction being conducted is related to creating the **angle bisector** of the angles formed by the intersection of the slanted line with the horizontal line segment. The arcs drawn are typically a method for constructing angle bisectors, as they help to identify points that are equidistant from the sides of the angle.
Thus, the answer would be:
**angle bisector**