# Lines

- Author:
- James Garvey

- Topic:
- Constructions

## 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

**Instructions (Angle Copy Method)****Instructions (Rhombus Method)*****Instructions (Translated Triangle Method)**

_{*My preferred method.}