Some Geometric Terms and Results

Some geometric terms and results used in terms of words.

Some Geometric Terms and Results:

• The sum of all the angles at a point is 360°.

i.e., ∠1 + ∠2 + ∠3 + ∠4 + ∠5 + ∠6 = 360°

$sum of all angles$

• The sum of all the angles about a point on a straight line on one side of if it is 180°.

i.e., ∠1 + ∠2 + ∠3 + ∠4 = 360°

$Important Geometric Terms$

Some Important Geometric Terms Used:

1. Equal angles:

Two angles are said to be equal if they have the same degree measure. ∠MNO and ∠XYZ are equal angles of measure 90°.

$equal angles$

2. Bisector of an Angle:

The ray which divides the given angle into two equal angles is called an angle bisector.

In the adjoining figure, the ray BD divides ∠ABC into two equal angles ∠ABD and ∠DBC

i.e., ∠ABD = ∠DBC.

$bisector of an angle$

Perpendicular Lines:

Two lines in a plane are said to be perpendicular if they intersect in such a way that the angles formed between them are right angles. In the adjoining e, lines PQ and RS intersect at 0 such that ∠ROQ = ∠ ROP = ∠POS = ∠QOS = 90°.

Therefore, we say that PQ is perpendicular to RS, i.e., (PQ ⊥ RS).

$perpendicular lines$

Perpendicular Bisector:

It is the line which passes through the midpoint of the given line segment and is also perpendicular to it. Here, MN is the line segment. PQ is the perpendicular bisector as ∠POM = ∠PON = 90° and MO = ON.

$perpendicular bisector$