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Homework Practice

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Circles: Practice 3

Section A: Core Practice

Question 1mcq
A cyclic quadrilateral has one angle equal to 70∘70^\circ. What is the measure of its opposite angle?
A.110∘110^\circ
B.70∘70^\circ
C.90∘90^\circ
D.140∘140^\circ
Question 2mcq
In a circle, a perpendicular from the centre to a chord meets the chord at MM. What must be true about the chord?
A.The centre lies on the chord.
B.The chord becomes a diameter.
C.The chord has length equal to the radius.
D.MM bisects the chord.
Question 3mcq
If two chords of a circle are equidistant from the centre, what can be concluded?
A.The chords are diameters.
B.The chords are perpendicular.
C.The chords are equal in length.
D.The chords meet at the centre.
Question 4mcq
During a survey problem on cyclic points and quadrilaterals, what is the diameter of a circle whose radius is 7 cm7\,cm?
A.7 cm7\,cm
B.14 cm14\,cm
C.21 cm21\,cm
D.49 cm49\,cm
Question 5mcq
A cyclic quadrilateral has one angle equal to 70∘70^\circ. What is the measure of its opposite angle?
A.110∘110^\circ
B.70∘70^\circ
C.90∘90^\circ
D.140∘140^\circ

Section B: Application Practice

Question 6mcq
In a circle, a perpendicular from the centre to a chord meets the chord at MM. What must be true about the chord?
A.The centre lies on the chord.
B.The chord becomes a diameter.
C.The chord has length equal to the radius.
D.MM bisects the chord.
Question 7mcq
If two chords of a circle are equidistant from the centre, what can be concluded?
A.The chords are diameters.
B.The chords are perpendicular.
C.The chords are equal in length.
D.The chords meet at the centre.
Question 8mcq
During a visual problem on angles in circles, what is the diameter of a circle whose radius is 7 cm7\,cm?
A.7 cm7\,cm
B.14 cm14\,cm
C.21 cm21\,cm
D.49 cm49\,cm
Question 9mcq
A cyclic quadrilateral has one angle equal to 70∘70^\circ. What is the measure of its opposite angle?
A.110∘110^\circ
B.70∘70^\circ
C.90∘90^\circ
D.140∘140^\circ
Question 10mcq
In a circle, a perpendicular from the centre to a chord meets the chord at MM. What must be true about the chord?
A.The centre lies on the chord.
B.The chord becomes a diameter.
C.The chord has length equal to the radius.
D.MM bisects the chord.