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Ben uses a compass and straightedge to bisect segment PQ, as shown:


Which statement best explains why Ben must open the compass to a width greater than half of segment PQ?

A. To be able to create two intersecting arcs above and below the line segment
B. To be able to create arcs above the line segment
C. To find the length of the line segment
D. To find the length of half of the line segment


Ben Uses A Compass And Straightedge To Bisect Segment PQ As Shown Which Statement Best Explains Why Ben Must Open The Compass To A Width Greater Than Half Of Se class=

Sagot :

Ben bisecting the line implies that he is dividing the line into equal segments

The true statement is (a) To be able to create two intersecting arcs above and below the line segment

How to determine what opening the compass means for Ben?

From the question we understand that Ben must open the compass such that the width of the compass is more than half the segment PQ.

As a general rule, Ben must create intersecting arcs above the line segment that is being dilated

This means that Ben's action would enable him to create intersecting arcs above/below the line

Hence, the true statement is (a)

Read more about line bisection at:

https://brainly.com/question/2284810

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