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Lines

Autor:James Garvey

1. Copy a Line Segment

Construct a copy of the line segment below.

Construct a copy of the line segment AB from the triangle. The copy should have one endpoint at P.

2. Sum of given Segments

Construct a line segment which is the sum of the segments p, q and r

Construct a line segment whose length is equal to the perimeter of the triangle below.

3. Difference of given Segments

Construct a line segment which is the difference of the segments j and k

Construct a line segment whose length is equal to j + m – k

4. Perpendicular bisector of a line segment

Draw the perpendicular bisector for both of the two lines below

Construct the four perpendicular bisectors of the sides of the rectangle below, using the fewest arcs and lines. (The record: 3 arcs, 2 lines)

5. Constructing perpendicular at a point on a line

Construct a line perpendicular to the ones below that passes through the points E & F

6. Constructing a perpendicular to a line through a point

Construct a line perpendicular to the one below that passes through the point P

Construct a line perpendicular to AB through P, and another line perpendicular to CD also through P

7. Constructing a perpendicular at the end of a ray

Construct a perpendicular from the endpoint of each of the rays below.

8. Dividing a line segment into equal parts

Divide the line segment below into 3 equal parts

Divide the line segment below into 7 equal parts.

9. Constructing a parallel through a point

*My preferred method.

Construct a line parallel to the one below that passes through the point P

Construct a line parallel to AB through Q, and another line parallel to CD also through Q

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