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1.02 Basic Constructions

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julio Gutierrez

on 30 July 2015

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Transcript of 1.02 Basic Constructions

1.02 Basic Constructions
By:Julio Gutierrez

Bisect the original line segment from problem one.
Place the compass at one end of line.
Adjust the compass to slightly longer than half the line length.
Draw arcs above and below the line.
Keeping the same compass width, draw arcs from other end of line.
Place ruler where the arcs cross, and draw the line.
Draw an angle and copy it to the right of the original angle. Explain your steps and justify each step used.
Bisect the original angle from problem three.
1.Draw a line segment and copy it to the right of the original segment. Explain your steps and justify each step used.
Step 1-Start with the line segment that you will copy
Step 2-Mark a point in this case point A
Step 3- With your compass measure the original line segment
Step 4- With the same measurement as step 3, make an arc form point A
Step 5- With your Straight edge draw a line to the arc
Step 1. Scribe an arc centered at A and intersecting the arms of the angle at B and C.

Step 2. On the other line, scribe and arc of the same radius centered at A' intersecting the line at B'

Step 3. Use the compass to measure the distance from B to C, and with the compass centered at B' scribe an arc whose radius is the distance from B to C intersecting the arc from Step 2 at C'.

Step 4. Draw the line from A' through C'.

1.Place the tip of the compass on the vertex of the angle and draw an arc which cuts each arm of the angle at two different points.
2.Place the tip of the compass on one of the points where the first arc cuts an arm of the angle. Draw a second arc somewhere in the region contained between the arms of the angle. Use whatever width of the compass you want to.
3.Place the compass' tip on the point of intersection of the first arc and the other arm, without changing the width of the compass. Draw a third arc which cuts the second arc at some point.
4.Draw a line connecting the vertex of the angle and the point of intersection of the second and the third arcs.
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