# Construction 7

- Author:
- Bill Doherty

Construction 7 - Given a point not on a given line, construct the line parallel to the given line through the given point.

1. Use the line tool to construct line AC.
2. Construct Circle A as follows:

- Select the "Circle with Center through Point" tool.
- Tap on Point A.
- Tap on a point on Line AC somewhere between Points A and C.
- If not already labeled, label the point where this circle intersects the line (between A and C) as Point D.

- Select the Compass tool.
- Tap (in order) on Points A and D (to establish the length of the radius), then on Point C (to establish the center).

- Select the Intersect tool.
- Select Line AC and Circle C.
- This should have created two points of intersection. If they are not already labeled, label the intersection point between Points A and C as Point E and label the other intersection point as Point F.

- Select the Intersect tool.
- Select Line AB and Circle A.
- This should have created two points of intersection. If they are not already labeled, label the intersection point between Points A and B as Point H and label the other intersection point as Point G.

- Select the Compass tool.
- Tap (in order) on Points D and H (to establish the length of the radius), then on Point F (to establish the center).

- Select the Intersect tool.
- Select Circles C and F.
- This should have created two points of intersection. If they are not already labeled, label the intersection point on the same side of Line AC as Point G as Point I and label the other intersection (on the same side of Line AC as Point H) as Point J.