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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 __________________________________________________________________.