Inscribed Angles

Heidi McCarty, Mar 8, 2017

Students will discover the relationship between an inscribed angle and its intercepted arc, two inscribed angles the intercept the same arc, an inscribed angle that intercepts the diameter, and the opposite angles of an inscribed quadrilateral.


  • 1. Relationship Between Inscribed Angle and Intercepted Arc
  • 2. Two Inscribed Angles Intercept the Same Arc
  • 3. Inscribed Angle and Diameter
  • 4. Inscribed Quadrilateral

1.

Relationship Between Inscribed Angle and Intercepted Arc

Step 1: Drag B and see how the measure of angle DCB and the measure of arc DB change. [br]Step 2: How are the measures of the inscribed angle and the intercepted arc related?[br]Step 3: Uncheck the measure of the arc, change the measure of angle DCB. [br]Step 4: Calculate the measure of the arc, then check the measure of the arc box to see if you are correct. [br]Step 5: Repeat steps 3 and 4 at least 3 times. [br]Step 6: Uncheck the measure of the angle box. [br]Step 7: Change the size of the measure of the arc and calculate the inscribed angle. [br]Step 8: Check the box to check your answer. [br]Step 9: Repeat steps 6-8 at least three times.
The measure of the inscribed angle is ______________ the measure of the intercepted arc.
– Heidi McCarty

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