Question

Step 1: Copy a segment and an angle. Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment? Explain how you could use the construction tool or a compass and straightedge to create a line segment that is twice as long as . NEED HELP WITH THE ASSIGNMENT THATS LINKED

Answer 1

To copy a line segment implies drawing a line segment which would have the same length and orientation as the given line.

The required answers to the questions are as stated in the explanation below:

A. To copy a given line segment EF:

1. Draw a straight line and mark point T on it.

2. Place your compass at point E of the given line and extend to the endpoint F. This radius is the length of given line segment EF.

3. With the same radius (i.e EF), place your compass on T and describe an arc to cut the straight line at point R.

4. Thus, TR is a copy of the given line segment EF.

Therefore, the step that ensures that the new line segment has the same length as the original line segment is Step 2. (i.e Place your compass at point E of the given line and extend to the endpoint F.)

B. Considering the given attachment, given a line segment AB.

Using a pair of compass and a straightedge, follow the steps below to construct a line segment twice as long as AB.

i. Draw a long straight line using the straightedge and mark a point P on it.

ii. Place the compass at point A of the given line segment and open to B.

iii. With this radius, place the compass at point P on the straight line and draw an arc.

iv. The arc would intersect the straight line at a point, say Q.

v. With the same radius, place the compass now at Q and describe another arc to intersect the straight line at R.

vi. The line segment PR would be twice as long as line segment AB.

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