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)

Question

Coordinates of Points on Lines AB and CD
Image Drawing Step
1: Points upper P and upper Q are plotted a distance apart on a horizontal line which extends indefinitely in both directions. Line upper P upper Q is bisected by an unnamed segment with a left-to-right slant. Step
2: Two parallel horizontal lines are drawn extending indefinitely in both directions. Two points upper P and upper Q are plotted some distance apart on the bottommost line. A line segment intersects both horizontal lines. Step
3: Two points, upper P and upper Q, are plotted on a horizontal line which extends indefinitely in both directions. The straight edge of a ruler is drawn intersecting line upper P upper Q with a left-to-right slant. Step
4: A horizontal line with arrows at both ends is drawn. Two points upper P and upper Q are marked toward either end of the line. An upward slanted line intersects the horizontal line at point upper J between upper P and upper Q. Two arcs are drawn. Step
5: A horizontal line is drawn with arrows at both ends. Two points, upper P and upper Q, are marked toward either end of the line. An upward slanted line intersects the horizontal line at point upper J, between upper P and upper Q. Two arcs are drawn. Step
6: A horizontal line with arrows at both ends is drawn. Two points, upper P and upper Q, are marked toward either end of the line. A point upper R is marked above the line and between points upper P and upper Q. Step
7: A horizontal line with arrows at both ends is drawn. Two points, upper P and upper Q, are marked toward either end of the line. A left-to-right slanted line intersects the horizontal line at point upper J between upper P and upper Q. Two arcs are drawn. Step

Answer 1

To construct a parallel line to a given line through a point not on the line, the steps should be arranged in the following order:

1. Step 6: A horizontal line with arrows at both ends is drawn. Two points, upper P and upper Q, are marked toward either end of the line. A point upper R is marked above the line and between points upper P and upper Q.
2. Step 4: A horizontal line with arrows at both ends is drawn. Two points upper P and upper Q are marked toward either end of the line. An upward slanted line intersects the horizontal line at point upper J between upper P and upper Q. Two arcs are drawn.
3. Step 5: A horizontal line is drawn with arrows at both ends. Two points, upper P and upper Q, are marked toward either end of the line. An upward slanted line intersects the horizontal line at point upper J, between upper P and upper Q. Two arcs are drawn.
4. Step 2: Two parallel horizontal lines are drawn extending indefinitely in both directions. Two points upper P and upper Q are plotted some distance apart on the bottommost line. A line segment intersects both horizontal lines.
5. Step 1: Points upper P and upper Q are plotted a distance apart on a horizontal line which extends indefinitely in both directions. Line upper P upper Q is bisected by an unnamed segment with a left-to-right slant.
6. Step 3: Two points, upper P and upper Q, are plotted on a horizontal line which extends indefinitely in both directions. The straight edge of a ruler is drawn intersecting line upper P upper Q with a left-to-right slant.
7. Step 7: A horizontal line with arrows at both ends is drawn. Two points, upper P and upper Q, are marked toward either end of the line. A left-to-right slanted line intersects the horizontal line at point upper J between upper P and upper Q. Two arcs are drawn.

So, the correct sequence of numbered steps would be:

• Step 6: 1
• Step 4: 2
• Step 5: 3
• Step 2: 4
• Step 1: 5
• Step 3: 6
• Step 7: 7