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Circles: Final Assessment

Section A: Core Review

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
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
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
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

Section B: Application and Reasoning

Question 9mcq
Find the midpoint of A(2,4)A(2,4) and B(8,10)B(8,10).
A.(5,7)(5,7)
B.(10,14)(10,14)
C.(6,6)(6,6)
D.(3,7)(3,7)
Question 10mcq
A perpendicular from the centre of a circle to a chord does what?
A.Doubles the chord.
B.Never meets the chord.
C.Makes the chord a radius.
D.Bisects the chord.
Question 11mcq
The point (−1,3)(-1,3) lies in which quadrant?
A.Quadrant III
B.Quadrant I
C.Quadrant II
D.Quadrant IV
Question 12mcq
Equal chords of the same circle are:
A.Always diameters.
B.Equidistant from the centre.
C.At different distances from the centre always.
D.Never parallel.
Question 13mcq
Why is the diameter the longest chord of a circle?
A.It passes through the centre and has length 2r2r.
B.It is always outside the circle.
C.It is shorter than every radius.
D.It never touches the circle.
Question 14mcq
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 15mcq
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 16mcq
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

Section C: Challenge and Mixed Practice

Question 17mcq
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 18mcq
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 19mcq
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 20mcq
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 21mcq
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 22mcq
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 23mcq
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 24mcq
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