# How do you construct a line parallel to a given line through a given point?

Asked By: Siriman Goñi-Larequi | Last Updated: 10th March, 2020

Category:
science
space and astronomy

To

**construct a line parallel to a given line through**a**point**, locate the**given line**and the**given point**, labeling the**line**"m" and the**point**"A." Then, place the tip of a compass on**point**A, and draw a large arc that intersects the**line**at some**point**, Without changing the width of the compass, set one tip on theHerein, when constructing a line parallel to a given line you will be?

This page shows how to **construct a line parallel to a given line** that passes through a **given** point with compass and straightedge or ruler. It is called the 'angle copy method' because it works by using the fact that a transverse **line** drawn across two **parallel lines** creates pairs of equal corresponding angles.

Also, how do you bisect a line segment? **Line Segment Bisector, Right Angle**

- Place the compass at one end of line segment.
- Adjust the compass to slightly longer than half the line segment length.
- Draw arcs above and below the line.
- Keeping the same compass width, draw arcs from other end of line.
- Place ruler where the arcs cross, and draw the line segment.

Regarding this, how do you construct a perpendicular line through a given point?

**Construct: a line through P perpendicular to given line.**

- STEPS:
- Place your compass point on P and swing an arc of any size that crosses the line twice.
- Place the compass point on one of the two locations where the arc crossed the line and make a small arc below the line (on the side where P is not located).

How do you construct a perpendicular line?

**Constructing perpendicular lines**

- Place your compass on the given point (point P). Draw an arc across the line on each side of the given point.
- From each arc on the line, draw another arc on the opposite side of the line from the given point (P).
- Use your ruler to join the given point (P) to the point where the arcs intersect (Q).