Question

Read the instructions first and then answer.

Answer 1

Step-by-step explanation:

A)

Point:-

A point determines a location and it occupies a place.It has no measurement.

A point is represented by the Capital letters of English Alphabet.

A,B,..Z

A point has no dimension.

Number of dimensions of a point = 0

Example:-

• Tip of a pen
• Joint place of the line segments.
• End position of a line segment .
• The pointed end of a needle.
• End of a pencil.

Line:-

A figure obtained by extending the both ends of a linesegment endlessly.

It has no end points. It has so many points in it.

A line is nothing but a length without having breadth.

It is represented by Capital letters of English alphabet like AB line, CD line or small letters like

l,m,n ...

A line has only one dimension .So it is a 1-D figure

Number of dimensions of a line = 1

Examples:-

• Edge of a blackboard
• Wire or tape.
• Edges of tables,doors and walls

Plane:-

a plane is a flat, two-dimensional surface that extends endlessly. A plane is the two-dimensional figure.

Edges of a plane are lines.

It is represented by two letters (English alphabet)

A plane has length and breadth .It is a 2-D figure.

Number of dimensions of a plane = 2

Examples:-

• XY-plane
• triangular plane
• Circular plane
• blackboard plane.

Point ,Line and Plane are the undefined terms in the geometry.

The definitions of these above terms are kept in the Volume -1 of the Elements written by Euclid.

It contained 23 definitions.

B)1) Collinear points :-

Points are on the same line are called Collinear points.

A,B,C are the three collinear points if,

• AB+BC=AC
• area of a triangle formed by the three points is zero.
• We can't draw a triangle through this points.

A__________B____________C

2)Coplanar Points:-

Points on the same plane are called Coplanar Points.

if the points are said to be coplanar if, there exists a geometric plane that contains them all.

.A

.B

.C