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Introduction to Euclid Geometry — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsIntroduction to Euclid Geometry1 Mark
MCQ
The two lines which are parallel to the same line are _______ to each other.
  • A
    Perpendicular.
  • B
    Equal.
  • C
    Parallel.
  • D
    None of these.
✓

Answer

  1. Parallel.
    Solution:
    There are 3 lines AB, CD, EF, where AB and EF are parallel, and CD and EF are parallel.
    Let line PQ cross AB at G, EF at H, CD at K. On parallel lines, AB and EF, angle AGK = GHF (Alternate interior angles).
    On parallel lines AB and EF, angle AGK = GHF. (Alternate interior angles)
    So, angle AGK = GKD. (Alternate interior angles)
    So, AB is parallel to CD.

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