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##### Asked by: Deogracia Hahulin

science space and astronomy# How do you construct a perpendicular?

Last Updated: 25th May, 2020

**Construct: a line through P perpendicular togivenline.**

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

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Keeping this in view, how do you construct a perpendicular line?

First, put the equation of the **line** givenintoslope-intercept form by solving for y. You **get** y = 2x+5, sothe slope is –2. **Perpendicular lines**haveopposite-reciprocal slopes, so the slope of the **line** wewantto find is 1/2. Plugging in the point given into the equation y=1/2x + b and solving for b, we **get** b = 6.

Also Know, how do you know if lines are parallel or perpendicular? **If** the slopes are the same and they-interceptsare different, the **lines are parallel**. **If**the slopesare different, the **lines** are not **parallel**.Unlike**parallel lines**, **perpendicular lines** dointersect.Their intersection forms a right, or 90-degree,angle.

Secondly, what is perpendicular example?

Parallel lines are lines in a plane that are alwaysthesame distance apart. Parallel lines neverintersect.**Perpendicular** lines are lines that intersect at aright (90degrees) angle.

What is the symbol for perpendicular?

Table of symbols in geometry:

Symbol | Symbol Name | Meaning / definition |
---|---|---|

⊥ | perpendicular | perpendicular lines (90° angle) |

∥ | parallel | parallel lines |

≅ | congruent to | equivalence of geometric shapes and size |

~ | similarity | same shapes, not same size |