Statement A: Through a point not on a line, at most one line can be drawn parallel to the given line. Statement B: This is consistent with Euclid's fifth postulate. Which is correct?

Question

Accepted Answer

Both A and B are correct. Playfair's axiom (equivalent to the fifth postulate) says exactly one parallel exists, so 'at most one' is consistent and true. Both statements are correct.

Statement A: Through a point not on a line, at most one line can be drawn parallel to the given line.
Statement B: This is consistent with Euclid's fifth postulate.
Which is correct?

Step-by-Step Solution

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More Class 9 The Fifth Postulate practice

Statement A: Through a point not on a line, at most one line can be drawn parallel to the given line.Statement B: This is consistent with Euclid's fifth postulate.Which is correct?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 The Fifth Postulate practice

Statement A: Through a point not on a line, at most one line can be drawn parallel to the given line.
Statement B: This is consistent with Euclid's fifth postulate.
Which is correct?