This figure is a step in which construction?

a. a line parallel to < -ab-> through point p.

b. a line perpendicular to < -ab-> through point p.

This will give you many results. AP = PB by construction

C is a point made by making the compass points such that AC>AP and the compass points are not altered so that BC = AC

C when joined to P creates a perpendicular line. This is very important. You use it a lot. 

Option: B is the correct answer.

B.  a line perpendicular to <-AB-> through point P.

Step-by-step explanation:

We know that a line perpendicular to a given line is constructed as follows:

1)  Draw a line segment AB

2) Take a span of compass more than half the length of AB and keep the point of compass first at A and then at B to make a arc above AB.

3) Draw a straight line that passes through the intersection  of arc and line AB such that it meets AB at point P which will act as a midpoint of line AB.

       Hence, the correct option is:

                    Option: B

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