What happens when a diameter is perpendicular to a chord on a circle?

If a diameter of a circle is perpendicular to a chord, then it bisects the chord. If two chords are congruent, then the center of a circle is equidistant from the two chords.

What theorem if a radius of a circle bisects a chord that is not a diameter then it is perpendicular to the chord?

Chord Perpendicular to Radius The first theorem says that if a radius of a circle is perpendicular to a chord in the circle, then the radius bisects the chord. The proof of this theorem relies on the forming of two congruent triangles.

Is a chord always perpendicular to the radius?

Perpendicularity and bisected chords: If a radius is perpendicular to a chord, then it bisects the chord. If a radius bisects a chord (that isn’t a diameter), then it’s perpendicular to the chord.

What is perpendicular to a chord bisects the chord?

A chord is a segment that joins two points of a circle. A diameter is a chord that contains the center of the circle. In a circle, a radius perpendicular to a chord bisects the chord.

What is perpendicular to a chord theorem?

Theorem: A radius or diameter that is perpendicular to a chord divides the chord into two equal parts and vice versa. In the above circle, if the radius OB is perpendicular to the chord PQ then PA = AQ. Converse: The perpendicular bisector of a chord passes through the center of a circle.

Does perpendicular bisect the chord?

The theorem states that the line that passes through the center of the circle and is perpendicular to the chord also bisects that chord.

Why is diameter a chord?

(a) Yes, every diameter of a circle is also a chord because a chord of a circle is any line segment joining two points on the circle’s circumference. Therefore, every diameter of a circle is also a chord, and every chord of a circle is not a diameter.

Is a diameter of a circle actually a chord?

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. A chord that passes through a circle’s center point is the circle’s diameter. The word chord is from the Latin chorda meaning bowstring.

When a diameter is drawn in a circle and is perpendicular to a chord The arc of the chord is bisected?

If a diameter or radius is perpendicular to a chord, then it bisects the chord and its arc. If two chords are congruent, then their corresponding arcs are congruent. If a diameter or radius is perpendicular to a chord, then it bisects the chord and its arc.