"Question 2 Give a definition for each of the following terms. Are there other terms that need to be defined first? What are they, and how might you define them? (i) parallel lines (ii) perpendicular lines (iii) line segment (iv) radius of a circle (v) square
Class 9 - Math - Introduction to Euclid's Geometry Page 85"
Answers
Yes there are other terms that need to be defined first.
We need the following terms:
A) Point b) line. c) Plane d) Ray e) angle. f) Circle g) quadrilateral
1. Point is that point which has no part i.e, a point is an exact location.
2. A line is a Breadth less length. Lines can be extended on both directions.
3. A plane surface is a surface which lies evenly with the straight lines on itself.
4. A part of a LINE which has only one endpoint is called a ray.
5. An angle is the figure formed by two rays with common initial point.
6. A circle is the set of all those points In a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle.
7. A simple closed figure made of 4 line segment is called a quadrilateral.
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Parallel lines:
Two lines in a plane are said to be parallel if they have no common. Parallel Lines do not intersect each other. The distance between two Parallel Lines always remains the same.
Perpendicular lines:
Two lines in a plane are said to be perpendicular if they intersect each other at 1 right angle.
Line segment:
The Definite length between two points is called the line segment. A line segment has two endpoints.
Radius of a circle:
The distance from the centre to a point on the circle is called the radius of a circle.
Square:
A quadrilateral in which all four angles are right angles and four sides are equal is called a square.
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Hope this will help you....
The Answer of your Question is ->
≥ Yes, other terms need to be defined first which are:
Plane: A plane is flat surface on which geometric figures are drawn.
Point: A point is a dot drawn on a plane surface and is dimensionless.
Line: A line is collection of points which can extends in both direction and has only length not breadth
(i) Parallel lines: When two or more never intersect each other in a plane and perpendicular distance between them is always constant then they are said to be parallel lines.
(ii) Perpendicular lines: When two lines intersect each other at right angle in a plane then they are said to be perpendicular to each other.
(iii) Line segment: A line segment is a part of a line with two end points and cannot be extended further.
(iv) Radius of circle: The fixed distance between the centre and the circumference of the circle is called the radius of the circle.
(v) Square: A square is a quadrilateral in which all the four sides are equal and each internal angle is a right angle
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