Question

a student is constructing a copy of a line segment. their incomplete work is shown. a line segment ab is given. step 1: use a straight edge to draw a reference line that is longer than the line segment ab. name the starting point as a. what is step 2 in the construction? use a straight edge to connect point a to point a by drawing a line. use a straight edge to connect point b to point b by drawing a line. use a compass to draw a curve from point a on the reference line passing through point b. use a compass to measure the length of line segment ab by extending it and putting its two ends at points a and b.

Explanation:

Step1: Analyze line - segment construction steps

In constructing a copy of a line - segment, after drawing a reference line with a straight - edge (Step 1), the next logical step is to use a compass to measure the length of the given line - segment.

Step2: Evaluate options

The first option mentions using a compass to measure the length of line - segment AB, which is the correct next step in constructing a copy of a line - segment. The second option about drawing a curve with a compass is incorrect for this construction. The third and fourth options about using a straight - edge to connect points are steps that come later in the process after measuring the length with a compass.

Answer:

Use a compass to measure the length of line segment AB by extending it and putting its two ends at points A and B.