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WorksheetsCircle Theorems with reasons - Practice quiz.
Total questions: 10
Worksheet time: 15mins
A, B and C are points on the circumference of a circle, centre O.
Angle ABC = 430
a) Find the size of the angle AOC
angle AOC = (a)
b) Give a reason for your answer:
(b)
B and D are points on the circumference of a circle, centre O
ABC is a tangent to the circle at B
a) Find the size of angle x
angle x = (a)
b) Give a reason for your answer:
(b)
A, B, C and D are points on the circumference of a circle.
Angle BDC is 380 and one of the Angles at the intersection of the Chords BD and AC is 860 as indicated.
a) Find the size of angle BAC.
angle BAC = (a)
b) Give a reason for your answer:
(b)
A, B, C and D are points on a circle.
Angle BAC = 400
Angle DBC = 55°.
a) Find the size of the angle DAC.
angle DAC = (a)
b) Give a reason for your answer:
(b)
A, B, C and D are points on a circle, centre O. AE is a tangent to the circle. Angle ADC = 68°
a) Find the size of angle ABC.
angle ABC = (a)
b) Give a reason for your answer:
(b)
P, Q and R are points on the circumference of a circle, centre O.
PQ passes through O.
Angle RPQ = 670.
a) Find the size of the angle PQR.
angle PQR = (a)
b) Give a reason for your answer:
(b)
E, F, G and H are points on the circumference of a circle.
Angle HEF has a size of 990.
a) Find the size of angle FGH.
angle FGH = (a)
b) Give a reason for your answer:
(b)
Q and P are points on the circumference of a circle, centre O
a) Find the size of the angle x.
angle x = (a)
b) Give a reason for your answer:
(b)
A, B, C and D are points on a circle, centre O. AE is a tangent to the circle. Angle ADC = 68°
a) Find the size of angle AOC.
angle AOC = (a)
b) Give a reason for your answer:
(b)
D, E, F, G and H are points on a circle. Angle EGH = 670
a) Find the size of angle EDH.
angle EDH = (a)
b) Give a reason for your answer:
(b)
