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 bisector
perpendicular bisector
parallel lines through a point not on the given line
parallel lines through a point not on the given line
perpendicular lines
perpendicular lines
1 answer
The construction being done in the steps shown is for the angle bisector.
Step 1 introduces a segment \( LD \) and a pencil indicating an angle being opened at point \( E \). Steps 2 and 3 describe the intersection of a slanted line (representing the angle) with segment \( LD \) and appear to be creating points on both sides of the angle. The final step with arcs further indicates that this is to bisect the angle at point \( E \). Therefore, the correct response is:
angle bisector
