The correct answer is:
The arcs must intersect in order to connect to the vertex of the angle.
Explanation:
When constructing an angle bisector, we open our compass to any width, and place the point of the compass on the vertex of the angle. We then construct an arc through both sides of the angle.
Next we move the compass to the point where our constructed arc intersects one side of the angle. We then draw an arc inside of the angle.
Using the compass set to the same width, we move the compass to the point where our first arc intersects the other side of the angle, drawing an arc inside of the angle. This new arc will intersect our previous arc, creating a point.
We then use a straightedge to connect this point to the vertex of the angle, giving us our bisector.
If the two arcs did not intersect, we would not have a point to connect to the vertex.
It is must the arcs intersect to make an angle bisector through the compass.
A statement is to justify, why it must that intersecting arc to make an angle bisector.
The angle can be defined as the one line inclined over another line.
An angle bisector is defined as the line bisecting an angle in two equal measures. For example, there is an angle of 90° and the line bisects the angle of 90 into two equal measures i.e. into 45° and 45°.
While drawing an angle bisector it is must to draw intersecting arc because dividing a given angle into equal composition through the compass in a manner to cut arcs further from the former arcs because the letter arcs intersect at that point when the line is drawn from that point to angle holding point it bisects the angle into two equal measure.
Thus, It is must the arcs intersect to make an angle bisector through the compass.
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