Give a definition for perpendicular lines. Are there other terms that need to be defined first? What are they,and how might you define them?

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(N/A) Perpendicular lines: Two lines $p$ and $q$ lying in the same plane are said to be perpendicular if they intersect at a right angle $(90^{\circ})$,and we write them as $p \perp q$.
Yes,there are other terms that need to be defined first:
$1$. Line: $A$ line is a breadthless length that extends indefinitely in both directions.
$2$. Plane: $A$ surface which has only length and breadth.
$3$. Angle: The inclination between two intersecting lines.
$4$. Right angle: An angle whose measure is $90^{\circ}$.

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Give a definition for parallel lines. Are there other terms that need to be defined first? What are they,and how might you define them?

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Consider two 'postulates' given below:
$(i)$ Given any two distinct points $A$ and $B$,there exists a third point $C$ which is in between $A$ and $B$.
$(ii)$ There exist at least three points that are not on the same line.
Do these postulates contain any undefined terms? Are these postulates consistent? Do they follow from Euclid's postulates? Explain.

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