Construct a Perpendicular Bisector and an Isosceles Triangle

Using a Perpendicular Bisector to construct an Isosceles Triangle

Line segment ...

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How can we prove that

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To construct the bisector to line segment , and must be congruent.

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Using a compass, how can we bisect

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Sketch (center = and radius = ). Mark the points where and intersect. Draw a line segment connecting the marked points.
Sketch (where center = and radius = ). Mark the points where and intersect. Draw a line segment connecting the marked points
Sketch (where center = and radius = ). Mark the points where and intersect. Draw a line segment connecting the marked points
Sketch (center = and radius = ). Mark the points where and intersect. Draw a line segment connecting the marked points.