Mathematics
Statement 1: A point P is reflected to P' in a line L, then the line L is the right bisector of PP'.
Statement 2: A point P is reflected to P' in a line L, then the line PP' is the right bisector of L.
Which of the following options is correct?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Symmetry
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Answer
The line L is the line of reflection. The line segment PP' connects the original point and its reflection.
The line of reflection is always the right bisector of the segment connecting the point and its image.
Thus, the line L is the right bisector of PP'.
So, statement 1 is true.
The line PP' connects the original point and its reflection. The line L is the line of reflection.
The line segment PP' is perpendicular to L, but it does not bisect L.
So, statement 2 is false.
∴ Statement 1 is true, and statement 2 is false.
Hence, option 3 is the correct option.
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Related Questions
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