Question

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which sequence identifies the correct order for completing the construction to copy a line segment using a compass and straightedge.
images of line segments labeled w, x, y, z and multiple - choice options: x,y,z,w; w,z,x,y; w,y,x,z; z,x,w,y

Explanation:

To copy a line segment \( MN \) (shown in \( W \) and \( Z \)) using a compass and straightedge, the steps are:

1. First, have the original segment \( MN \) (represented by \( W \) and \( Z \)).
2. Then, draw a ray (like in \( X \)) with a starting point \( P \).
3. Next, use the compass to measure the length of \( MN \) (from \( Z \)).
4. Finally, mark the length on the ray to get the copied segment (like in \( Y \)).

Analyzing the order:

• \( W \) and \( Z \) show the original segment.
• \( X \) is drawing the ray.
• \( Y \) is marking the end of the copied segment.

So the correct order is \( W, Z, X, Y \) (matching the option \( W, Z, X, Y \)).

Answer:

W, Z, X, Y (the option with this sequence, e.g., if the option is labeled as the one with W, Z, X, Y, that's the correct choice)