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Which of these can not form a perpendicular bisector?
Perpendicular bisector lines intersect at right angles
What does a perpendicular bisector look like?
A perpendicular bisector has a right angle or 90 degrees
If a circle with its centre at the origin has a chord with slope m the equation of the right bisector of the chord is y equals mx is this statement true or false?
False. 1). The proposed equation y=mx suggests that the chord's right bisector has no y-intercept, i.e. passes through the origin. This is interesting, and appears plausible, and I'm willing to acknowledge that this aspect of it is true. But ... 2). If the slope of the chord is 'm', then the slope of its right bisector is not also 'm'. If it were, that would make the chord and its bisector parallel, which would be pretty silly. The slope of any line perpendicular to the chord, including its right bisector, has to be '-1/m'. The equation of the chord's right bisector is: Y = -X/m .
How is constructing a perpendicular bisector similar to constructing an angle bisector?
No. Well... kind of because they are both bisections. The difference is that the angle bisector splits an angle in half, while a perpendicular bisector creates a right angle from a horizontal line. They both "split" something in half.
Can a right triangle form a perpendicular bisector?
Yes because 2 of its 3 sides meet at right angles
