The steps to use a compass and straightedge to construct a parallel line to a given line, l, that passes through a point not on that line, P, are given below. Arrange them in the correct order. Use a straightedge to draw a line through points P and Q. Mark the point of intersection between the two arcs as point Q. Use a straightedge to draw line m that intersects line l and point P. Adjust the compass so it is equal to the distance between the intersection points of the first arc and lines l and m. Draw the point of intersection between line l and line m. Without changing the compass width, construct an arc from point Z that intersects the previously constructed arc. Without changing the compass width, construct a second arc from point P that intersects line m at point Z. Using a compass, swing an arc that intersects lines l and m from the point of intersection.

Question

contestada

Respuesta :

ACCESS MORE ACCESS MORE ACCESS MORE ACCESS MORE

DeanR DeanR · Answer 1 · 2018-07-20T22:09:19+02:00

The first step has to only use the givens, and each step can only use what comes before.

1. Use a straightedge to draw line m that intersects line l and point P.

2. Draw the point of intersection between line l and line m.

3. Using a compass, swing an arc that intersects lines l and m from the point of intersection.

4. Adjust the compass so it is equal to the distance between the intersection points of the first arc and lines l and m.

5. Without changing the compass width, construct a second arc from point P that intersects line m at point Z.

6. Without changing the compass width, construct an arc from point Z that intersects the previously constructed arc.

7. Mark the point of intersection between the two arcs as point Q.

8. Use a straightedge to draw a line through points P and Q.

maheshpatelvVT maheshpatelvVT · Answer 2 · 2022-06-11T13:47:23+02:00

To construct a line parallel to the provided line l is shown that passes through a point not on that line, P.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The following are the steps:

Using a Compass swinging arc that intersects lines, I from the point of intersection's

Without changing the compass with construct a second arc from point P that intersects line M at point C

Adjust the compass, so it is equal to the distance between the intersection points of the first arc and lines I and M

Without changing the compass with construct an arc from point see that intersects the previously constructed arc

Thus, to construct a line parallel to the provided line l is shown that passes through a point not on that line, P.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ2