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Does a diameter that is perpendicular to a chord bisect the chord?
Wiki User
∙ 14y ago
Yes, any diameter which is perpendicular to a chord bisects said chord.
This can be proved most easily with a picture, but is proved using a congruent triangle proof. Both triangles include the points at the center of the circle and the intersection of the diameter and chord. The other points should be the endpoints of the chord. They are congruent by hypotenuse leg; it was given that they are right triangle by the "perpendicular", the "leg" is the segment between the center of the circle and the intersection, and it is equal in both triangles because it is the same segment in both triangles. The hypotenuses are equal because both are radii of the circle.
Because the triangles are congruent, their sides must be so the two halves of the chord are congruent, and therefore the chord is bisected by the diameter.
Wiki User
∙ 14y ago
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If any two chords are perpendicular do they bisect each other?
Only when one of them is the circle's diameter which is the circle's largest chord.
If a radius of a circle is perpendicular to a chord at what point does it intersect the chord?
The radius of the circle that is perpendicular to a chord intersects the chord at its midpoint, so it is said to bisect the chord.
Why can a chord be a diameter?
because the chord can be determine by the diameter and the diameter can be determine by the chord.
How do you layout a 22.5 degree angle?
Easy if you know how to draw a perpendicular and to bisect angles. Draw a perpendicular = 90 degrees. Bisect it = 45 degrees Bisect that = 22.5 degrees. Not sure how you can do it without that knowledge.
Why is a diameter a chord?
A diameter is a chord, because a chord always goes from one point to another in a circle, and a diameter does too.
Does a diameter that is perpendicular to the chord bisect the chord?
yes
If any two chords are perpendicular do they bisect each other?
Only when one of them is the circle's diameter which is the circle's largest chord.
Does a Diameter always bisect a chord?
no.
If a radius of a circle is perpendicular to a chord at what point does it intersect the chord?
The radius of the circle that is perpendicular to a chord intersects the chord at its midpoint, so it is said to bisect the chord.
If a diameter is perpendicular to a chord then the diameter bisects?
. . the chord.
the diameter of a circle is perpendicular to a chord whose length is 12 inches. If the length of a shorter segment of the diameter is 4 inches, what is the length of the longer segment of the diameter?
I get 9
Why can a chord be a diameter?
because the chord can be determine by the diameter and the diameter can be determine by the chord.
When is a Chord a diameter?
The longest chord of a circle is its diameter
If a radius of a circle is perpendicular to a chord then it that chord?
Bisects
If a radius of a circle bisects a chord then it is to that chord?
Perpendicular.
Can a circle form a perpendicular bisect?
No, it cannot.
Is it possible to bisect a segment with a perpendicular segment?
Yes. it is possible to bisect a segment with a perpendicular segment. Follow the link to learn how to do it: http://www.mathopenref.com/constbisectline.html
