Question

question 1-7 which sequence identifies the correct order for completing the construction to copy a line segment using a compass and straightedge image of line segments and points options: xyz w, wzx y, wyx z, zx wy

Explanation:

To solve the problem of identifying the correct sequence for copying a line segment using a compass and straightedge, we analyze the steps of the construction:

Step 1: Recall the steps to copy a line segment

1. Draw a ray (Step \( W \)): Start by drawing a ray (like \( \overrightarrow{MN} \) in the diagram) to serve as the base for the copied segment.
2. Measure the original segment (Step \( Z \)): Use a compass to measure the length of the original segment \( \overline{MN} \).
3. Transfer the length (Step \( X \)): With the compass set to the length of \( \overline{MN} \), place the compass tip on the endpoint of the ray and mark the length (creating a point to define the copied segment).
4. Draw the copied segment (Step \( Y \)): Use a straightedge to connect the endpoint of the ray to the marked point, completing the copied segment.

Step 2: Match the sequence to the steps

The correct order of operations for copying a line segment is:

• \( W \): Draw the initial ray.
• \( Z \): Measure the original segment with the compass.
• \( X \): Transfer the length to the ray.
• \( Y \): Draw the copied segment.

Thus, the sequence \( W, Z, X, Y \) (option "W, Z, X, Y") is correct.

Answer:

W, Z, X, Y (the option labeled "W, Z, X, Y")