MYP Standard Mathematics Topic 3.3 Circle Theorems…

A tangent is drawn to a circle at point $A$ . A chord $AB$ is drawn such that it is parallel to another chord $BC$ (where $C$ is on the circumference). If $\angle ABC = 55^\circ$ , find the size of .

A cyclic quadrilateral ${ABCD}$ is inscribed in a circle. If the side ${AD}$ is extended to a point ${E}$ outside the circle, which of the following statements is always true regarding the exterior angle ${\angle CDE}$ ?

The specific point where a tangent line meets the circumference of a circle without crossing into the interior is formally known as the:

A chord divides a circle into two distinct regions. What is the name specifically given to the region bounded by the chord and the major arc?

Fill in the blank: According to the central angle theorem, the angle subtended by an arc at the center is exactly ______ the angle subtended by the same arc at any point on the remaining part of the circumference.

${\angle CDE + \angle ABC = 180^\circ}$

${\angle CDE = \angle ADC}$

${\angle CDE = \angle ABC}$

${\angle CDE = 90^\circ}$

Point of intersection

MYP Standard Mathematics 3.3 Circle Theorems Questionbank

MYP Standard Mathematics 3.3 Circle Theorems Questionbank

MYP Standard Mathematics 3.3 Circle Theorems Questionbank

MYP Standard Mathematics 3.3 Circle Theorems Questionbank

MYP MYP Standard Mathematics Topic 3.3 Circle Theorems Questionbank