## Constructing a parallel through a point (angle copy method)

This page demonstrates how to make a line parallel to a given line that passes through a point using the ‘angle copy method,’ which relies on the fact that a transverse line drawn across two parallel lines produces pairs of equal corresponding angles.

### Proof

This construction uses the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles to create parallel lines in reverse. Click here for a printable parallel line construction worksheet with two problems to try.

## What are the steps to construct parallel lines?

How Do You Make Parallel Lines?

- Begin by drawing a horizontal line (or ray or line segment) on your paper that is relative to you.
- We will then use our straightedge to construct a transverse, a line that intersects your original line and passes through your point above the line.

## What is the last step in constructing parallel lines?

Drawing a transversal through the given point to intersect the given line is the first step in constructing parallel lines, followed by duplicating an angle created by the transversal and the given line.

## Which instrument is used to draw parallel lines?

The set-squares are used to draw parallel and perpendicular lines to any given line, while the clinograph is used to draw parallel lines at any angle.

## What is parallel line class 7?

When two lines in the same plane do not intersect when drawn on opposite sides, they are said to be parallel to each other.

## How many parallel lines can be drawn through a point not on the line?

A point that is not on the line can only have ONE parallel line drawn through it.

## Is part of a line with two endpoints?

A line segment is a finite-length segment of a line with two endpoints, whereas a ray is a line segment that extends indefinitely in one direction.

## What is the slope of the original line?

The slope of the original line is thus 1/2, and the slope of its perpendicular line is the negative reciprocal of the slope of the other line. The negative reciprocal of the original line is u20132, and thus the slope of its perpendicular line is u20132.

## What are pairs of parallel lines?

Corresponding angles are congruent if the two lines are parallel, as are all angles that have the same position with respect to the parallel lines and the transversal.

## What would make parallel lines easier?

2. Construct a copy of the angle formed by the transversal and the given line using the construction COPY AN ANGLE such that the copy is located UP at point P.