Is the A chord always passes through the center of the circle?

A chord is a line segment whose endpoints are on a circle. If a chord passes through the center of the circle, it is called a diameter.

How do you know if a perpendicular bisector passes through a point?

A perpendicular bisector of a line segment passes through the midpoint of the line segment and intersects the line segment at 90^\circ. If a point is equidistant from the endpoints of a segment, then the point is on the perpendicular bisector of the segment.

Why does the perpendicular bisector of a chord passes through the Centre?

The perpendicular bisector of any chord of any given circle must pass through the center of that circle. From this it is manifest that, if in a circle a straight line cut a straight line into two equal parts and at right angles, the centre of the circle is on the cutting straight line.

What is the relationship between chord of a circle and perpendicular to it from the Centre?

What is the Relationship Between the Chord of a Circle and a Perpendicular to it from the Center? The perpendicular drawn from the center of a circle to a chord bisects the chord. In other words, a line drawn through the center of a circle to bisect a chord is perpendicular to the chord.

What do you call to the chord of the circle when drawn perpendicular to another chord bisects the chord?

radius
If a radius of a circle is perpendicular to a chord in the circle, then the radius bisects the chord. Two chords are congruent if, and only if, they are equidistant from the center of the circle.

What is the relationship between the chord of a circle?

Chords are equidistant from the center if and only if their lengths are equal. Equal chords are subtended by equal angles from the center of the circle. A chord that passes through the center of a circle is called a diameter and is the longest chord of that specific circle.