State whether the following statement is true or false.

In the case of a line and a point that is not on the line, there is only one perpendicular line that passes through the point and is perpendicular to that line.

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True

False

answer is A.

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Detailed Solution

We have given a line and a point that is not on the line.
We know that a line is a completely straight, one-dimensional shape that extends infinitely in both directions and has no thickness.
A plane is a flat, indefinitely long, two-dimensional surface.
Im given figure, lines are an example of .

Im given figure, lines are an example of .

In Euclidean geometry, two lines are said to be perpendicular if, at their intersection, the straight angle on one side of the first line is divided into two congruent angles.
The above figure shows point M where line MN and line AB intersect.
Consequently, in the case of a line and a point that is not on the line, there is only one perpendicular line that passes through the point and is perpendicular to that line. Thus, the given statement is true.
Hence, option (1) is correct.

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