Question

What are the steps for using a compass and straightedge to construct a line through point P that is parallel to line m? A horizontal line m and a point P are drawn. The point P is above the horizontal line m. Drag the steps and drop them in order from start to finish.

Answer 1

Here's the list of the following sequence in the right order for you (I took the test myself and got this whole sequence right)

1. Use the straightedge to draw a line n that passes through P and intersects line m. Label the point of intersection as point X.

2. Place the point of the compass on point X and draw an arc that intersects lines m and n. Label the intersections as points A and B.

3. Without changing the width of the compass opening, place the point of the compass on point P and draw an arc that intersects line n. Label the intersection as point C.

4. Place the point of the compass on point A and open it to width AB.

5. With the compass opening set to width AB, place the point of the compass on point C and draw an arc that intersects the arc that was drawn from point P. Label the intersection of the arcs as point Y.

6. Use the straightedge to draw line PY.

Answer 2

Here, m is a line and we have to find the draw parallel line of line of m through a point P with the help of straightedge and compass,

The correct order of steps for constructing a line through point P that is parallel to line m are as follows,

Step 1 : Use the straightedge to draw a line n that passes through P and intersect line m, lebel the point of intersection as X,

Step 2 : Place the point of the compass on point X and draw an arc that intersect line m and n, label the intersection point A and B,

Step 3 : Without changing the width of the compass opening, place the point of compass on point P and draw an arc that intersect line n label the intersection point as C,

Step 4 : Place the point of compass on point A and open it to the width of AB,

Step 5 : With the compass opening set the width of AB, place the point of the compass On point C and draw an arc that intersects the arc that was drawn from point P lebel the intersection of arc as point Y,

Step 6 : Use the straightedge to draw PY