A teacher in her class discusses various examples from daily life situations like a railway line crossing several other lines, a road crossing two or more roads, alphabets like ‘H’, ‘Z’, etc.
Which of the following concept(s) can be introduced through these examples ?
A. Line segment
B. Transversal
C. Parallel lines
D. Right angles
Choose the correct option :
Correct Answer :
B and C
Solution :
The correct option is B and C.
Let us analyze the daily life examples mentioned by the teacher to understand which mathematical concepts they introduce:
1. Railway line crossing several other lines:
When a line intersects two or more lines at distinct points, it acts as a transversal. Thus, this example introduces the concept of a transversal line.
2. Road crossing two or more roads:
Similarly, a road cutting across multiple roads represents a transversal line intersecting other lines (which are often parallel or non-intersecting roads).
3. Alphabet ‘H’:
The letter 'H' consists of two vertical parallel line segments crossed by a horizontal line segment in the middle. This illustrates both parallel lines and a transversal line.
4. Alphabet ‘Z’:
The letter 'Z' features two horizontal parallel line segments connected by a slant segment acting as a transversal, which also demonstrates alternate interior angles formed by parallel lines and a transversal.
Therefore, these examples effectively introduce the concepts of Transversal (B) and Parallel lines (C).
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