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**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).

Similarly one may ask, 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.

**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.

Beside above, 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.

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 |