Assume that AB¯¯¯¯¯¯¯¯

Question

has already been constructed. What is the first step to construct the perpendicular bisector of AB¯¯¯¯¯¯¯¯
?(1 point)
Responses

Open the compass to a quarter of the length of AB¯¯¯¯¯¯¯¯
and draw a long arc through point A.
Open the compass to a quarter of the length of line segment cap A cap b and draw a long arc through point A.

Put the compass on point A and draw a long arc. Be sure the opening is less than half the length of AB¯¯¯¯¯¯¯¯
.
Put the compass on point A and draw a long arc. Be sure the opening is less than half the length of line segment cap A cap b .

Open the compass to half of the length of AB¯¯¯¯¯¯¯¯
and draw a long arc through point A.
Open the compass to half of the length of line segment cap A cap b and draw a long arc through point A.

Put the compass point on point A and draw a long arc. Be sure the opening is greater than half of the length of AB¯¯¯¯¯¯¯¯
.
​
Put the compass point on point A and draw a long arc. Be sure the opening is greater than half of the length of line segment cap A cap b . ​

Answer 1

Open the compass to a quarter of the length of AB¯¯¯¯¯¯¯¯ and draw a long arc through point A.

Answer 2

how will you determine that the compass has the proper radius set? How do you know what distance is 1/4 of AB?

Answer 3

To determine that the compass has the proper radius set, you will need to measure and mark off 1/4 of the length of AB¯¯¯¯¯¯¯¯ using a ruler or other measuring device. Once you have determined this length, you can set the compass to the same distance by adjusting the compass legs to match the measurement.

Answer 4

most constructions are done using just a straightedge, not a marked ruler...

Answer 5

I apologize for the confusion. In construction without a marked ruler, the first step to construct the perpendicular bisector of AB¯¯¯¯¯¯¯¯ would be to use the straightedge to draw a line that intersects AB¯¯¯¯¯¯¯¯ at point A. This line can be drawn in any direction, as long as it passes through point A.