Which figure is being constructed below?

a) a perpendicular bisector
b) a congruent segment
c) an angle bisector
d) a congruent angle

A) A perpendicular bisector

Step-by-step explanation:

The given figure is depicting construction of a perpendicular bisector of a straight line. The reason why it is known as perpendicular bisector is because not only it forms a 90° angle with respect to the given straight line but also divides the given line exactly into two equal halves.

Construction:

1) The compass is adjusted in such a way that it is opened for more than half of the length of the given line segment.

2) Then it is placed at one end for example left end of the given line and two arcs are drawn which are above and below the given line.

3) In the next step the compass is placed at opposite end i.e. right end of the line and two arcs are drawn above and below of the given line. These two arcs will intersect the previously drawn arcs so we will get two points by the intersection of these arcs.

4) With the help of a ruler now a straight line can be drawn which must pass through those two points above and below the given straight line. This straight line is the angle bisector of the given line.

a. -0.3 > -0.33

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