Core Circle Properties and Angles

Define and apply the theorem that the angle in a semicircle is a right angle, stating the reason formally in calculations.

Define and apply the theorem that the angle at the center is double the angle at the circumference, stating the reason formally.

Define and apply the theorem that angles subtended by the same arc at the circumference are equal, stating the reason formally.

Solve problems by identifying and using the properties of isosceles triangles formed by two radii and a chord.