1
Question
You got Homework from your tutor that, how can you draw a triangle that will have exactly two equal length sides or what if you need to find the centre of a circle that passes through a given set of points?
It turns out that a single line called the perpendicular bisector can be useful in both these problems.
The given statements show how perpendicular bisector of a line segment AB behaves:
Statement 1: Cut the line segment AB into two equal pieces.
Statement 2 : Makes 180° angle with the line segment AB.
You got Homework from your tutor that, how can you draw a triangle that will have exactly two equal length sides or what if you need to find the centre of a circle that passes through a given set of points?
It turns out that a single line called the perpendicular bisector can be useful in both these problems.
The given statements show how perpendicular bisector of a line segment AB behaves:
Statement 1: Cut the line segment AB into two equal pieces.
Statement 2 : Makes 180° angle with the line segment AB.
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Solution
The correct option is A Only Statement 1 is correct.
An important property of perpendicular bisector is that every point on it is at the same distance from A as it is from point B. Thus, it makes right angle with the line segment AB.
An important property of perpendicular bisector is that every point on it is at the same distance from A as it is from point B. Thus, it makes right angle with the line segment AB.
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