Tangent Radius Theorem

What is the value of x?

• 45 degrees

• 180 degrees

• 40 degrees

• Cannot be determined.

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

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

• Angles of quadrilateral add to 360°

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

• Angles of quadrilateral add to 360°

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°

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

• 38

• 52

• 90

• 72

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

• 70

• 110

• 140

• 90

If a line is tangent to a circle, then it is _________ to the radius drawn to the point of tangency.

• adjacent

• parallel

• perpendicular

• supplementary

A tangent line intersecting with a radius always creates a __________ angle.

• acute

• obtuse

• right

• straight

A tangent line intersects the circle __________.

• in exactly one point

• in exactly two points

• through the center

• with the diameter