Question

4. 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? (1) parallel lines (ii) perpendicular lines (ii) line segment​​

Answer 1

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Yes, other terms need to be defined first which are: Plane: A plane is flat surface on which geometric figures are drawn. ... (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.

Answer 2

Answer:

(i) Parallel line - Two lines are said to be parallel when (a) They never meet or never intersect each other even if they are extended to the infinity. (b) they coplanar.

(ii) Perpendicular lines - Two lines AB and CD lying the same plane are said to be perpendicular, if they form a right angle. We write AB⊥CD

(iii) Line segment - A line-segment is a part of line. When two distinct points, say A and B on a line are given, then the part of this line with end-points A and B is called the line-segment.

(iv) Radius of a circle - The distance from the centre to a point on the circle is called the radius of the circle. In the following figure OP is the radius.

(v) Square - A quadrilateral in which all the four angles are right angles and four sides are equal is called a square. ABCD is a square.

solution