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Which theorem justifies the standard construction of dividing a line segment in a given ratio?

Class 10Division of a Line SegmentGeometry
  • APythagoras theorem
  • BBasic Proportionality Theorem (Thales)
  • CAngle Bisector theorem
  • DMid-point theorem

Step-by-Step Solution

Parallel lines cut the two transversals (AX and AB) proportionally, which is the Basic Proportionality (Thales) theorem.
Answer: B) Basic Proportionality Theorem (Thales)

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