Circles Intersecting Chords

If AB and CD are two chords of a circle intersecting at point E, as per the given figure. Then:

• ∠BEQ > ∠CEQ

• ∠BEQ = ∠CEQ

• ∠BEQ < ∠CEQ

• None of the above

If chords AB and CD of congruent circles subtend equal angles at their centres, then:

• AB=CD

• AB > CD

• AB < AD

• None of above

In the below figure, the value of ∠ADC is:

• 60⁰

• 30⁰

• 45⁰

• 55⁰

If the angles subtended by two chords of a circle or of congruent circles at the centre are equal, the chords are ——–

• equal

• unequal

• different

• none of above

In the figure, if O is the centre of a circle, then the measure of ∠ACB is:

• 80⁰

• 100⁰

• 40⁰

• 60⁰

In a circle, if a diameter is is perpendicular to a chord, then:

• it bisects the chord

• it bisects the corresponding arc

• it bisects BOTH the chord and its arc

• none of these answers are correct

In a circle, if a diameter bisects a chord (that is not a diameter), then:

• it is a secant

• it is parallel to the chord

• it is perpendicular to the chord

• it is just shaking out the sillies

If the measure of arc ABC = 210°, what is the measure of ∠AOC?

• 150°

• 100°

• 210°

• 105°

A ____ is a line, ray, or segment that intersects a circle at two points.

• Tangent

• Secant

• Radius

• Arc

An angle is a(n) ______ if the vertex is on a circle and the sides of the angle are shords of the circle.

• right angle

• acute angle

• inscribed angle

• intercepted angle