Question

which of the following statemrnts is false?
through a given point only one straight line can be drawn
through two given points it is possible to draw and and only one straight line
two straight lines can be intersect at only one point
A line segment can be produced to any desired length
find the answerا​

Answer 1

1.(a) Through a given point, only one straight line can be drawn. Clearly, statement (a) is false because we can draw infinitely many straight lines through a given point

2. False. According to Axiom 5.1, Given any two distinct points, there is a unique line that passes through them. We can draw only one line passing through two distinct points as shown below.

3.Through a given point, only one straight line can be drawn. Through two given points, it is possible to draw one and only one straight line. Two straight lines can intersect only at one point. A line segment can be produced to any desired length

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Answer 2

Step-by-step explanation:

Through a given point, only one straight line can be drawn. Clearly, statement

is false because we can draw infinitely many straight lines through a given point.