Question

Draw a line segment and copy it to the right of the original segment. Explain your steps and justify each step used.

Bisect the original line segment from problem 1.
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 3.

Answer 1

The setps are the answer, check pictures below.

Explanation:

Let's construct it with a compass, ruler.

1) Draw a line segment

2) Copying a line segment.

Place the compass needle on one end (A), open it the same width (to B) as the line. Keep the width, and copy by marking small arcs, to the right. Place the Compass Needle on another end, random chosen (C). Mark and rotate it to mark on the other end (D). Draw a copy line with a green pen.

The compass keeps the size without a ruler or straightedge for small lines.

3) Bisecting a line segment.

To bisect it. all you need to do is with a compass open it a

little more than half of this width. Place the compass needle on A, mark an arc with the Compass pencil over and below the line, trace an arc clockwise. And with compass needle on B mark another arc counterclockwise over and below the line. Using a ruler trace a perpendicular segment connecting to the common point.

Having open a little more than the half over and below, the intersection point will hit exactly the half.

4) Copying an angle: Having an angle, let's proceed to copy it.

Compass needle on B (vertex), trace an arc marking points G, and H. Then, in another segment place the compass needle on J, same width, then mark on the second angle the point I. Place the needle on D and trace the arc. There you have the same arc.

Answer 2

mark a line on piece of paper, any length you desire, roughly in the left upper quadrant (1/4 of the page), and 'copy' it to the right of the segment, writing down the steps you use. For example: Original line segment, 3 inch straight line. For the 'copy', you would 'measure' the line drawn, and duplicate it to the right, measuring it to make sure it is the exact length of the first line. To bisect the original line segment measure the line with a ruler or other device, and calculate 1/2 distance from one end, mark it, measure from left end to mark, make sure right section is equal in length. You can do this without 'measuring', without a ruler, simply use a piece of paper and mark the 'total length first on it, then fold it in half to find the mid-point Use the same process for the 'angles'. (i just gooled it for you, i didn't have teh anwser, but i hope this helps.)