# G-CO.12 Construction #7 Constructing a line parallel to a given line through a point not on the line

- Author:
- Claire Verti

- Topic:
- Constructions

## Geometric Constructions with a straightedge and a compass

Given: Line AB, point M, not on the line.
Construct Line MN, such that line AB line MN
Steps
1. Use a straightedge to draw line AM.
2. Place your compass point at A and draw an arc so that it intersects both lines AM and AB at points C and D.
3. Using the same compass measurement as step 2, place your compass on point M and draw an identical arc so that it intersects line AM at E.
4. Place your compass at point C and set the measurement to draw an arc at point D.
5. Using the same compass measurement as step 5, place your compass at point E and draw an arc so that it intersects the arc in step 3 at point N.
6. Use a straightedge to draw line MN.
7. Line AB line MN