Question

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 1

Answer:

(i) Parallel lines: Two lines are parallel if they lie in the same plane, and are the same distance apart over their entire length or can say they never meet with each other.

(ii) Perpendicular lines: Two lines are perpendicular if the angle between them is 90°.

(iii)line segment: A line segment is a terminated line of finite distance.Any line can be converted into line segment and vice versa.

(iv) radius of a circle :It is a line segment by which one can put the compass at one end and draw a circle .The only thing to make a circle is radius.

(v) square: A close figure by four equal sides is a square,all the angles are of 90°.

Answer 2

Step-by-step explanation:

For the desired definition we need the following terms....

• Point

A small dot made by a sharp pencil on a sheet paper gives an idea about a point.

A point has no dimension it has only position.

• Line

A Street crease obtained by folding a paper, a straight string code at its two ends the edge of a ruler are some clause examples of geometrical line.

The basic concept about a line is that it should be straight and that it should extended indefinitely in both the directions.

• Plane

The surface of a smooth bowl on the surface of a sheet of paper I clause examples of plan.

• Ray

A part of line l which has only one and point a and contains the point B is called ray AB.

• Circle

A circle is a set of all those points in a plane whos results from a fixed point remains constant.

The fixed point is called the centre of the circle.

• Quadrilateral

A closed figure made of four line segment is called a quadrilateral.

i) Parallel lines

• If the perpendicular distance between two lines is always constant , then these are called parallel lines.
• In other words , the lines which never intersect each other are called parallel lines.
• To define parallel lines we must know about point lines and distance the lines and the point to intersection.

ii) Perpendicular lines

• If two lines intersect each other at 90 degree then these are called perpendicular lines.
• We are required to define line and the angle before define perpendicular lines.

iii) Line segment

• A straight line drawn from any point to any other point is called as line segment.
• To define a line segment , we must know about point and line segment.

iv) Radius of a circle

• It is the distance between the centre of a circle to any point lying on the circle.
• To define the radius of a circle we must know about point and circle.

v) Square

• A square is a quadrilateral having all sides of equal length and all angles of same measure , i.e 90 degree.
• To define square , we must know about quadrilateral , side and angle.