Use the images to answer the 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

angle bisector
angle bisector

perpendicular bisector
perpendicular bisector

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

Answer 1

The steps described in your question indicate a construction that involves a line segment \( \overline{LD} \) and intersects it at point \( E \) with a slanted line. The pencil above segment \( LD \) suggests that we are drawing something relative to that segment, and the reference to arcs likely implies that we are marking off areas for bisecting angles.

Given these clues, it seems like we are focusing on the interaction between the segment and the lines through point \( E \) that relates to angles formed by the intersection.

Thus, the construction shown in the steps appears to be about creating an angle bisector at point \( E \) of the angles formed by the intersecting lines.

Therefore, the answer is:

angle bisector