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dsp73
3 years ago
9

Isaac will be constructing congruent segments with a compass and straightedge, while Micah will be constructing a segment bisect

or with a compass and straightedge. Describe the similarities and differences between their construction steps.
Mathematics
1 answer:
aksik [14]3 years ago
7 0

Answer:

Similarly: you start with an endpoint on both lines to start construction.

Difference: bisector you open the compass to more than half but with congruent you open the compass to the whole length

Step-by-step explanation:

Segment bisector

1. Open a Compass so it's width is more than half the length of the given segment

2. Without changing its width use  the compass to draw an arc  above and below the given line segment from one of the segment endpoints

3. Again without changing its width use the compass to draw another pair of arcs from the other and points. One arc will be above the segment while the second arc will be below

4. Draw the point of intersection between the pair of arcs below the line segment in between the pair of arcs below the line segment

5. Use a straight edge to connect the intersection points between each pair of arcs

congruent segment

1. Open the compass to it width that matches the given line segment

2. Using a straight edge draw a line that is longer than the given segment was one end point

3. Without changing the width of the compass use the compass to draw an arc on the Ray from its end point

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