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Question
(01.02 lc)
jessica is bisecting a segment. first, she places the compass on one endpoint and opens it to a width larger than half of the segment. what is her next step?
swing an arc on either side of the segment.
create a point that is not on the segment.
draw a ray from one endpoint of the segment.
place the compass on a point that is not on the segment.
question 7 (1 point)
(01.02 lc)
angle abc has point e on ray ba and point d on ray bc. points e and d are equidistant from point b. to bisect angle abc, which of the following needs to be identified for the construction?
the distance between points e and d
the point in the angle that is equidistant from points e and d
the endpoint of rays ba and bc
the point outside of the angle that is equidistant from points e and d
For the first question, when bisecting a segment, after placing the compass on one endpoint and opening it wider than half - the segment, the next step is to swing an arc on either side of the segment. This is a standard part of the segment - bisecting construction.
For the second question, when bisecting an angle with points \(E\) and \(D\) equidistant from the vertex \(B\) (of \(\angle ABC\)), we need to find the point in the angle that is equidistant from \(E\) and \(D\). By the property of angle bisectors (a point on the angle bisector is equidistant from the sides of the angle), this point will help us construct the angle bisector.
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First question: a. Swing an arc on either side of the segment.
Second question: b. The point in the angle that is equidistant from points \(E\) and \(D\)