Consider the diagram where ABCD is inscribed inside a circle.
State the sum of any two opposite angles in the quadrilateral ABCD.
Can a parallelogram without right angles be inscribed inside a circle?
State whether the following are cyclic quadrilaterals:
Find m in the given diagram:
Consider the given diagram:
Find x.
Find y.
The quadrilateral ABCD has vertices that lie on a circle:
Suppose that the diagonals AC and BD pass through the center of the circle, determine whether the following statements are true or false:
ABCD must be a square, but might not be a parallelogram.
ABCD must be a parallelogram, but might not be a trapezium.
ABCD must be a parallelogram, but might not be a rectangle.
ABCD must be a rectangle, but might not be a square.
Consider the given diagram.
Show all working and reasoning to determine the value of y.
In the given diagram, O is the centre of the circle.
Show all working and reasoning and find the size of angles:
p
q
r
In the given diagram, O is the centre of the circle. Find the size of angles x and y.
Show all working and reasoning.
In the figure below, the two circles intersect at points B and E.
If \angle BCD = 104\degree, find \angle BAF. Show all working and reasoning.
In the given diagram, the angles \angle PSA and \angle AQR are congruent angles and the variable y represents the reflex angle at the centre point A:
Find the size of angle x.
Show all working and reasoning.
