An accurate perpendicular bisector is drawn by using a _____ to measure the line and divide it into two parts.

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compass

protractor

divider

answer is B.

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Detailed Solution

An accurate perpendicular bisector is drawn using a compass and ruler.

The steps for the construction of a perpendicular bisector of a line segment are:

Step 1: Draw a line segment AB.
Step 2: Adjust the compass with a length of a little more than half of the length of AB.
Step 3: Place the compass pointer at point A and draw arcs above and below the line.
Step 4: Similarly, draw two arcs above and below the line keeping the compass pointer at B.
Step 5: Mark the points where the opposite arcs cross at C and D.
Step 6: Using a ruler, draw a line passing across C and D.

The perpendicular bisector bisects AB at a point E that is, the length AE is equal to EB and the angle between the two lines is 90 degrees.

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