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.
✓
Parallel.
D
None of these.
✓
Answer
Correct option: C.
Parallel.
There are 3 lines $A B, C D, E F$, where $A B$ and $E F$ are parallel, and $C D$ and $E F$ are parallel.
Let line PQ cross $A B$ at $G, E F$ at $H, C D$ at $K$. On parallel lines, $A B$ and $E F$, angle $A G K=G H F$ (Alternate interior angles).
On parallel lines $A B$ and $E F$, angle $A G K=G H F$. (Alternate interior angles)
So, angle $A G K=G K D$. (Alternate interior angles)
So, $A B$ is parallel to $C D$.
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