Question

If you chose a line segment, how are the construction steps you completed similar to the steps you would have taken to construct and bisect an angle? How are they different?

Answer 1

Answer:

Step-by-step explanation:

To bisect an angle or a line implies dividing the angle or line into two equal parts.

Similarities:

i. Use any convenient radius to describe two intersecting arcs

ii. Use the two ends of the line or arc of the angle to describe intersecting arcs.

iii. Draw a straight line i.e the bisector through the intersecting arcs through the line or angle.

Differences:

i. To bisect a line, two set of intersecting arcs are constructed above and below the line. But for an angle, a single set of intersecting arcs are constructed just once before the angle.

ii. The bisector passes through the point of intersection of the arcs above the line to the point of intersection of the arcs below the line. For an angle, the bisector passes through the point of intersection of the arcs through the angle to the vertex that forms the angle.