Circle Theorem Tangent and Chord

Find the value of the angle marked x....

• 50

• 100

• 80

• 90

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 angle x?

• 19^o

• 76^o

• 39^o

• 38^o

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 do we call the red line?

• Chord

• Arc

• Diameter

• Segment

Find the value of the angle marked x....

• 88

• 75

• 92

• 102

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

What best describes segment AB?

• chord

• secant

• tangent

• diameter

A line that touches (intersects) the circle only once from the outside.

• Secant

• Chord

• Tangent

• Line