help please!!! If you chose an angle, how are the construction steps you completed similar to the steps you would have taken to construct and bisect a line segment? How are they different?
Before I help you answer this question, may I ask you to be a little bit more specific? The question talks about `bisecting a line segment,` but what about the angle? Are you copying or bisecting the angle?
ok so you bisected the angle... and I see that you did the construction so I'm implying that you are at least familiar with bisecting angles... but first, do you know the proper steps to complete both of these constructions?
yes
ok, so what are they??
hold on im going back to the lesson
You are given an angle. Place the compass on the vertex of the angle. Swing an arc that intersects both rays of the angle. Mark the intersection points of the rays and the arc. Place the compass on one of those intersection points, and draw an arc inside the angle. Keeping the compass at the same width, place the compass on the second intersection point and swing an arc that intersects the first. Mark the intersection point of the two arcs, and draw a ray from the vertex through this intersection point.
alright, now what about a line?
what line?
what are the steps for bisecting a line segment? would you like me to tell you, if you dont know?
oh sowwy You are given a segment with two endpoints. Place the compass on one of the endpoints, and open the compass to a distance more than halfway across the segment. Swing an arc on either side of the segment. Keeping the compass at the same width, place the compass on the other endpoint and swing arcs on either side so that they intersect the first two arcs created. Mark the intersection points of the arcs, and draw a line through those two points. The point where this new line crosses the given segment is the midpoint and divides the segment in half. When you bisect a segment, you also construct a perpendicular bisector.
ok, lets start with the differences, do you see any? (hint: look at the 3rd step for both)
technically, the third bullet point, not step^^
so for an angle you intersect both rays but for a line you are Swing an arc for either side of the segment
That is correct. Lemme put that in a sentence for you: Difference #1: When I bisect an angle, I swing an arc that intersects both rays of the angle. But when I bisect a line segment, I swing an arc on either sides of the segment.
Now, try find a second difference of your own :)
i dont see it
what do you mean?
nvm
thank you
oh ok, so do you understand what you are doing? did you find other similarities and differences?
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