Use the images to answer the 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

parallel lines through a point not on the given line
parallel lines through a point not on the given line

angle bisector
angle bisector

perpendicular lines
perpendicular lines

perpendicular bisector
perpendicular bisector

1 answer

Based on the description of the steps provided, the construction described is of parallel lines through a point not on the given line.

The steps indicate a horizontal line segment and a slanted line intersecting it, suggesting the construction of parallel lines from a point (point U) that is not on the original line segment (LD). Thus, the correct choice would be:

parallel lines through a point not on the given line.