Circle Theorem

What is the size of angle x?

• 19^o

• 76^o

• 39^o

• 38^o

In the diagram, TP and TQ are tangents to a circle with centre O. Find each value of x

• 70

• 110

• 140

• 90

Identify which circle theorems you could use to solve each question

• Angle between tangent and radius is 90°

• Angle is in semicircle is 90°

• Opposite angles of cyclic quadrilateral add to 180°

• Angle is same segment are equal

• Two angles in isoceles triangle the same

If a is 60⁰ , what is 2a ?

• 30⁰

• 120⁰

• 90⁰

ATB is a tangent to each circle with centre O. Find the size of each angle.

• x = 34°

  y = 11°

  z = 15°

• x = 65°

  y = 69°

  z = 46°

• x = 46°

  y = 69°

  z = 65°

What is the size of the relex angle COA?

• 62

• 128

• 232

• 90

what is the measure of angle c

• 21

• 63

• 117

• 10

What best describes segment AB?

• chord

• secant

• tangent

• diameter

In the diagram, TP and TQ are tangents to a circle with centre O. Find each value of x

• 38

• 52

• 90

• 72

What do we call the red line?

• Chord

• Arc

• Diameter

• Segment