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Question
The diagram below shows the construction of the perpendicular bisector of AB.
From this figure, we can say that
The diagram below shows the construction of the perpendicular bisector of AB.
From this figure, we can say that
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Solution
The correct option is A AM = 0.5 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)
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)
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the diagram depicts the construction of perpendicular bisector of line segment AB.
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