MYP Standard Mathematics Topic 3 Right Triangles and…

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 ${\angle CDE}$ ?

Sector A has a radius of $5 \text{ units}$ and a central angle of $2 \text{ radians}$ . Sector B has a radius of $10 \text{ units}$ and a central angle of $1 \text{ radian}$ . Which of the following statements is true regarding their areas?

In the derivation of the distance formula $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ , what does the expression $(x_2-x_1)$ represent?

In the context of the 'shape recipe' analogy, what remains constant for all right triangles with an acute angle of $25^\circ$ , regardless of the triangle's physical size?

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

${\angle CDE = \angle ADC}$

${\angle CDE = \angle ABC}$

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

The area of Sector A is twice the area of Sector B

The area of Sector B is four times the area of Sector A

The area of Sector B is twice the area of Sector A

The areas of Sector A and Sector B are equal

MYP Standard Mathematics 3 Right Triangles and Circle Geometry Questionbank

MYP Standard Mathematics 3 Right Triangles and Circle Geometry Questionbank

MYP Standard Mathematics 3 Right Triangles and Circle Geometry Questionbank

MYP Standard Mathematics 3 Right Triangles and Circle Geometry Questionbank

MYP MYP Standard Mathematics Topic 3 Right Triangles and Circle Geometry Questionbank