Question

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In this figure, a line through points x and y will ______.
A. Be perpendicular to AB but not bisect it
B. Be the perpendicular bisector of AB
C. Bisect AB but not perpendicular
D. Be unrelated to AB

Answer 1

B

Explanation:

From the figure, its clear that the compass drew arcs like below:

With A as centre, and more than half of the length of AB as radius, one arc is drawn.

With the same radius, with B as centre, another arc is drawn.

The points of intersections of the arcs are X and Y.

Clearly, this is the construction of a perpendicular bisector of the line segment AB.

Hence, if we draw a line segment through XY, it will be a perpendicular bisector of AB.

Explanation: