1) Through any two points, there is exactly one line.- postulate
2) A line segment is a part of a line and is bounded by two endpoint. - Definition
3) If two lines intersect, then each pair of opposite angles are congruent. - Theorem
"These are statements that are assumed to be true without proof."
"It is used to give a precise meaning to a new term."
"It is a statement that can be proved to be true by accepted mathematical operations and arguments"
For given question,
We have been given three statements.
We need to classify them as theorem, postulate and definition.
The first statement is 'Through any two points, there is exactly one line.'
We know that this is the fundamental postulate use in Geometry.
The second statement is 'A line segment is a part of a line and is bounded by two endpoint.'
Above statement is the definition of line segment.
The last statement is 'If two lines intersect, then each pair of opposite angles are congruent.'
We can prove above statement by using Euclid's axiom.
So, above statement is a theorem.
Therefore, 1) Through any two points, there is exactly one line.' - postulate
2) A line segment is a part of a line and is bounded by two endpoint. - Definition
3) If two lines intersect, then each pair of opposite angles are congruent. - Theorem
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