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?
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
Answer
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.
