6.4 Investigation 1: Inscribed Angles and Arcs
6.4 Investigation 1: Inscribed Angles and Arcs
Investigation 1
Step 1: Construct an inscribed angle and its corresponding central angle in circle ????.
Step 2: Measure the central angle. How does this relate to the measure of the intercepted arc?
Step 3: Measure the inscribed angle. How does the measure of the inscribed angle compare with the measure of its intercepted arc?
Step 4: Is this always true? Move one of the chords around to determine this.
Answer the guiding question and finish the conjecture.
Inscribed Angle Conjecture
The measure of an inscribed angle in a circle __________________________________________________________________.