Question

the table shows the steps for constructing a parallel line to a given line through a point not on the line. put the steps in the correct order by writing the order number in the response field next to the image. (2 points) coordinates of points on lines ab and cd image drawing step step

Explanation:

Step1: Recall parallel line construction

The standard steps to construct a parallel line through a point (e.g., P) not on a given line (with point Q on the line) involve: 1. Draw a transversal through the point and the line. 2. Copy the corresponding angle at Q to point P using a compass. The image here shows copying the angle (compass setting), which is a later step (after drawing transversal and marking arc at Q). Assuming typical steps: Step 1: Draw transversal through P and intersecting the given line at a point (say, R). Step 2: With compass, draw an arc at R (on the given line and transversal). Step 3: Without changing compass width, draw an arc at P (on the transversal). Step 4: Measure the arc length at R (between transversal and given line) and mark the same on the arc at P. Step 5: Draw the parallel line through P and the marked point. The image shows copying the angle (step related to transferring the arc/angle), likely step 3 or 4, but since the problem is about ordering, and the image is of compass copying the angle after marking arc at Q (on the given line), the correct order for this image (copying the angle to construct parallel) is typically a later step, say step 3 (if steps are: 1. Transversal, 2. Arc at Q, 3. Arc at P with same width, 4. Mark intersection, 5. Draw line). But since the problem's table is missing the step descriptions, but the image is of compass setting to copy the angle, the correct order number (assuming standard construction steps) for this drawing step (copying the angle after marking arc at Q) is 3 (or as per standard: after drawing transversal and arc at Q, the next is to draw arc at P with same compass width, then mark the angle). However, since the problem is to put steps in order, and the image is of the compass copying the angle (transferring the angle), the correct step number (assuming the steps are: 1. Draw transversal through P and intersect line at R. 2. Draw arc at R (on line and transversal). 3. Draw arc at P (on transversal) with same compass width. 4. Measure arc length at R (between line and transversal) and mark on arc at P. 5. Draw line through P and marked point. The image shows step 3 or 4, but more likely step 3 (drawing arc at P with same width as at Q). But since the problem's table has "Drawing Step" and the image is of compass with arc at Q and P, the correct order number (from typical construction) is 3 (if steps are numbered 1 - 5, this is step 3: drawing arc at P with same radius as at Q).

Answer:

3 (Note: The exact step number depends on the full list of steps, but based on standard parallel line construction, this step (copying the arc/angle with compass) is typically a middle step, often step 3 in a 5 - step process. If the steps were: 1. Draw transversal, 2. Arc at Q, 3. Arc at P, 4. Mark angle, 5. Draw line, then this image is step 3.)