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Revision: Geometry >> Fundamental Concepts Maths ICSE ICSE Class 6 CISCE

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Definitions [14]

Definition: Collinear Points

Three or more points that all lie on the same straight line

Definition: Point

Point: A point is a mark of position. It has neither length, width, nor thickness and occupies no space. It is usually denoted by a capital letter.

Definition: Non-Collinear Points

Three or more points that do not lie on the same straight line.

Definition: Concurrent Lines

When two or more lines pass through the same point, they are called concurrent lines. The common point through which they pass is called the point of concurrence, i.e., point O.

Definition: Line

A line is a straight path that extends infinitely in both directions and has only length, without width or thickness.

Definition: Ray

A ray is a portion of a line that begins at a fixed point, called its origin, and extends infinitely in one direction.

Definition: Line Segment

A line segment is part of a line between two endpoints. A line segment AB is generally denoted by the symbol `bar"AB"`.

Definition: Plane

A plane is a flat, two-dimensional surface that extends infinitely in all directions. It has length and width but no thickness.

Examples: The surface of a wall, a blackboard, and the top of a table represent portions of a plane.

Definition: Parallel Lines

Parallel lines are straight lines that never intersect and remain at a constant distance from each other.

They are denoted by the symbol ”, meaning ‘is parallel to’.

Examples: Railroad tracks, Zebra crossings, Staircase steps

Definition: Intersecting Lines

When two or more lines meet at a common point, they are known as intersecting lines.

Definition: Closed Figures

The line or curve is continuous and creates a full boundary, trapping an area inside.

Definition: Open Figures

The figure has clear endpoints that don't meet up. You can walk from the "outside" to the "inside" without crossing a line!

Definition: Perpendicular Lines

When two lines intersect, and the angle between them is a right angle, then the lines are said to be perpendicular.

In mathematics, the relationship of perpendicularity is denoted by the symbol .

If Line A and Line B are perpendicular, the relationship is written as AB  PQ.

Definition: Perpendicular Bisector

A perpendicular bisector is defined as a line or a line segment that divides a given line segment into two parts of equal length and forms a right angle (90°) with it.

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