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Any Point Equidistant from the End Points of a Segment Lies on the Perpendicular Bisector of the Segment

The locus of ...

Question

The locus of vertices of all isosceles triangles having a common base is ________.

the bisector of the common base of the triangles

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the perpendicular bisector of the common base of the triangles

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a line parallel to the common base of the triangle

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a line parallel to the common base of the triangle which is 1 cm away from it

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Solution

The correct option is B
the perpendicular bisector of the common base of the triangles

The locus of vertices of all isosceles triangles having a common base, is the perpendicular bisector of the common base of the triangles.

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