Use the images to answer the question. solve it and tell me which answer is true

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

1 answer

Based on the steps described:

  1. Step 1 describes a pencil above a horizontal line segment with its tip pointing left, which suggests a possible angle or direction.
  2. Step 2 describes a slanted line intersecting a horizontal line segment at a specific point, indicating that an angle may be created.
  3. Step 3 continues describing the intersecting lines with the slanted line extending indefinitely, reinforcing the idea of an angle.
  4. Step 4 introduces arcs, typically used in constructions involving bisectors.

The construction of arcs suggests that the process being described is related to bisecting an angle. Therefore, the most fitting answer is:

angle bisector