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GeoGebraTarefa

Inscribed Angle Theorem

Students: The directions for this activity can be found below the applet.

Step 1

Use the Ray tool to construct the following: Ray with endpoint B that passes through A. Ray with endpoint B that passes through C.

Step 2

This angle with vertex B you've just constructed is said to be an inscribed angle of the circle. This inscribed angle B is said to intercept arc AC. Use the Angle tool to find and display the measure of this inscribed angle.

Step 3

Use the Ray tool to construct the following: Ray with endpoint O that passes through A. Ray with endpoint O that passes through C.

Step 4

Click the Show Other Point checkbox to display another point (point D) on the pink arc. Then create an inscribed angle with vertex D that intercepts arc AC. Then measure this angle.