Question 2
Can two straight lines intersect at more than one point?
A straight line is uniquely defined by two distinct points.
Step 1 — How Lines Cross
Imagine two different straight lines. Let us call them Line A and Line B. We can draw them on a paper. If these lines are not parallel. They will cross each other. They meet at only one single place. This meeting place is called the intersection point. We can see this with a ruler and pencil. Draw two lines that cross. They will always meet at just one point.
Step 2 — More Than One Meeting Point?
What if two lines met at two different points? Let us call these points Point 1 and Point 2. Line 1 passes through Point 1 and Point 2. Line 2 also passes through Point 1 and Point 2. There is a rule in geometry. Only one unique straight line can pass through two distinct points. So, if Line 1 and Line 2 share two points. They must be the exact same line. They are not two separate lines. They are just one line drawn twice. What if lines never meet at all? These lines are called parallel lines. Parallel lines never cross each other. So, they have zero intersection points. Therefore, two distinct straight lines can only meet at most one point.
Answer
(i) No, two straight lines can only intersect at one point. (ii) If they are parallel, they never intersect. (iii) If two lines appear to intersect at more than one point, it means they are the same.
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