The figure shows some of the steps Jane took to draw a line segment parallel to line segment XY at R.
Jane plans to perform these steps next.
Step 1. Set the compass at point S and adjust its width to point T
Step 2. Fix the compass at point L.
Step 3. Using the same width, draw an arc to intersect the line RJ at M
Step 4. Use a straightedge to join the points R and M
Which is the first incorrect step ?
A: Step 1
B: Step 2
C: Step 3
D: Step 4
step 1
To determine the first incorrect step, let's analyze each step:
Step 1. Set the compass at point S and adjust its width to point T: This step involves setting the width of the compass, which is a valid step in constructing parallel lines. It is possible that this could be the incorrect step if there is an error in adjusting the compass width, but without further information, we cannot conclusively say that it is incorrect.
Step 2. Fix the compass at point L: Fixing the compass at a specific point is a valid step in constructing parallel lines. It allows for consistent measurement and drawing of arcs. It is unlikely that this step is incorrect.
Step 3. Using the same width, draw an arc to intersect the line RJ at M: Drawing an arc of the same width from a fixed point to intersect another line is a valid step in constructing parallel lines. This step creates a point of intersection (M) which will be used in the next step. It is unlikely that this step is incorrect.
Step 4. Use a straightedge to join the points R and M: Using a straightedge to join two points (R and M) is a valid step in constructing parallel lines. This step creates the line segment parallel to line segment XY at R. It is unlikely that this step is incorrect.
Based on the analysis of each step, it appears that there is no obvious incorrect step. However, without more context or information about the figure and the intentions of Jane, it is difficult to determine the correct answer.