Inscribed Angles Theorem Activity

PART 1: Observe the following circle. Move the points around
Which angles do you think are congruent?
PART 2: Angles subtended by the same arc are congruent. See for yourself.
Which arc subtends the congruent angles above?
PART 3: Now move points A and C around
What happens to the congruent angles as arc AC gets bigger?
PART 4: Observe the following inscribed angles
Finish the sentence:
Angles subtended by the same ARC are always ___________
PART 5: Angle <CEB is called the central angle because point E is at the center of the circle
INSCRIBED ANGLE THEOREM
What do you notice about angle <CEB and angle <CAB ?
PART 6: Observe, what happens to the inscribed angle <CAB when the central angle is 180 degrees
What is another name for the central angle <CEB?
PART 7: So, an inscribed angle across a circle's diameter is always a right angle.
What do all of the inscribed angles above form with the diameter?
PART 8: Now, using all the above information, solve the following
Approximately, what is the measure of angle <BCD
Close
– Jasmin Trujillo

Information: Inscribed Angles Theorem Activity