Question

Prove that 2 distinct lines cannot have morethan one point in common

Answer 1

here is your answer in the photo.

Answer 2

Step-by-step explanation:

There are two separate lines, l and m.

To Demonstrate: Lines l and m only have one point in common.

Proof: At point P, two distinct lines l and m intersect.

• Assume they will interact at a later time, say Q. (different from P).
• It denotes the intersection of two lines, l and m, that pass through two unique points, P and Q.
• However, this contradicts axiom, which stipulates that "given two unique points, there exists only one line that passes through them."
• As a result, our assumption is incorrect.
• assumption is incorrect.As a result, two separate lines cannot share more than one point.

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