# How to Construct Two Parallel Lines

When you need to construct a line that is parallel to another line, remember that there are always two parallels—the parallel above the line and the parallel below the line.

## Constructing Parallels—Method 1

### Instructions for Method 1

- 1.
- You have a line $l$, and you want to find a parallel line $x$ cm away.
- 2.
- Mark two points on the line and call them $A$ and $B$.
- 3.
- Construct $90$° angles at both $A$ and $B$—the normals.
- 4.
- Set the distance between the legs of your draft compass to $x$ cm, put the point of the draft compass on $A$, and make a small arc across the corresponding normal. Call this intersection $D$.
- 5.
- Do the same thing at $B$, but call this intersection $C$.
- 6.
- Draw a line through $C$ and $D$. This line is parallel to $l$.

## Constructing Parallels—Method 2

### Instructions for Method 2

- 1.
- You have a line $l$, and you want to find a parallel line $x$ cm away.
- 2.
- Mark a point on $l$ and call it $A$.
- 3.
- Construct a $90$° angle at $A$—a normal.
- 4.
- Set the distance between the legs of your draft compass to $x$ cm, put the point of the draft compass on $A$, and make a small arc across the normal. Call this intersection $D$.
- 5.
- Construct a $90$° angle at $D$.
- 6.
- The normal you constructed at $D$ is parallel to $l$.