6
Question
The diagram below shows the construction of the perpendicular bisector of AB.
Which statement is not true?
The diagram below shows the construction of the perpendicular bisector of AB.
Which statement is not true?
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Solution
The correct option is C AM = 2 × AB
A perpendicular bisector can be defined as a line that intersects another line perpendicularly and divides it into two equal parts.
∴ AM = MB --- (1)
Also, AM + MB = AB --- (2)
From (1) and (2), we have:
AM + AM = AB
∴ 2 × AM = AB
Thus, AM = MB = 0.5 × AB --- (3)
From (1), (2), and (3), we can conclude that the statement given in option (c) is not true.
A perpendicular bisector can be defined as a line that intersects another line perpendicularly and divides it into two equal parts.
∴ AM = MB --- (1)
Also, AM + MB = AB --- (2)
From (1) and (2), we have:
AM + AM = AB
∴ 2 × AM = AB
Thus, AM = MB = 0.5 × AB --- (3)
From (1), (2), and (3), we can conclude that the statement given in option (c) is not true.
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