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
angle bisector
angle bisector
perpendicular lines
perpendicular lines
perpendicular bisector
perpendicular bisector
parallel lines through a point not on the given line
1 answer
The construction being done in the steps described is an angle bisector.
Step 1 introduces a line segment \( LD \) and shows a pencil pointing towards point \( D \), indicating that an angle is being created. Step 2 indicates that a line intersects the segment at point \( E \) and provides additional descriptions relevant to constructing angles. The arcs mentioned in Step 4 further suggest that an angle is being bisected. Therefore, the answer is:
angle bisector.
