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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.


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.


Does a diameter that is perpendicular to a chord bisect the chord?

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.


What Prove that if two chords of a circle bisect each other then the two chords are diameter of the given circle?

If two chords of a circle bisect each other, they must intersect at a point that is equidistant from both endpoints of each chord. By the properties of circles, the perpendicular bisector of any chord passes through the center of the circle. Since the two chords bisect each other at the same point and are both perpendicular to the line connecting their endpoints, this point must also be the center of the circle, making both chords diameters of the circle. Thus, if two chords bisect each other, they are indeed diameters of the circle.


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


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


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.