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Subjects>Math>Geometry

A chord divides a circle into two segments true or false?

MikeKaylaSociafb8171 ∙

Lvl 1

∙ 10y ago

Updated: 4/28/2022

True

Wiki User

∙ 10y ago

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Q: A chord divides a circle into two segments true or false?

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Continue Learning about Geometry

True or False If a radius of a circle intersects a chord then it bisects that chord?

False

If a radius of a circle intersects a chord then it bisects that chord?

If radius of a circle intersects a chord then it bisects the chord only if radius is perpendicular to the chord.

True or False if a radius of a circle is perpendicular to a chord then it bisects that chord?

true, because both distances of the chord are congruent

An arc consists of a connected piece of a circle and two radii segments?

false

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 .

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