help
Use a compass and a straightedge to construct a line perpendicular to segment AB. Do not erase any of your construction marks. Tell me the step to step about I have to go about doing this
@jhonyy9
@freckles
Perpendicular lines form 4 congruent right angles at their intersection
Perpendicular lines have opposite reciprocal slopes.
The way I would do it is get some graph paper and copy that line segment AB over onto it... You can Let A be the origin point. Find the equation of the line segment AB. Then find the equation of the perpendicular line to AB. And graph it.
That is the way I would do it. But I assume that is not what they want?
What they are asking is just like 1. do this 2. bisect that 3. make archs 4. draw a straight line through I just made that up but that's just they want
I just made that up but that is how they want It step by step I'm now even going to actually do it they just want the steps
@freckles are you still there?
Ok I had to look up compass to what the tool does. You can use this tool to make circles, semicircles, and so on... What about cutting your line out of the paper. Folding your line so that B lays on top of A... Then unfolding that line to see where the fold was in that line to obtain the midpoint of that line... Then use that midpoint and draw a circle about that midpoint so that A and B lay on that circle. This is so far where I'm at... We just need to figure out how to place one more point to draw another straight edge.
we know this straight edge will contain the midpoint of that one line
I guess you could fold that circle about the line AB both directions
Start with a line segment AB Place the compasses on one end of the line segment. Set the compasses' width to a approximately two thirds the line length. Without changing the compasses' width, draw an arc above and below the line. Again without changing the compasses' width, place the compasses' point on the the other end of the line. Draw an arc above and below the line so that the arcs cross the first two. Using a straightedge, draw a line between the points where the arcs intersect. Done. This line is perpendicular to the first line and bisects it (cuts it at the exact midpoint of the line).
Select a point on segment AB (preferredly near center) label this point as C. Take a compass put it at point C and make an arc on AB equidistance from point C. Label these points D (on left of C) and E on right of C. Do not adjust compass when locating these points D & E.. Now adjust compass so that it will span those two points (D & E). Now place compass at point D and make an arc above the point C, then place compass (do not adjust) on Point E and make an arc above C. Where the two arcs intersect label this point F. Now with a straight edge, connect points C and F, that segment CF is perpendicular to AB
oh so no folding is allowed?
@freckles I am viewing yours In my lesson I didn't see anything about folding
ok
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