AI Generated: ΕΓΓΕΓΡΑΜΜΈΝΕΣ ΚΑΙ ΕΠ
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Last updated over 1 year ago
4 questions
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Learning Objectives
Understand the definitions, properties, and differences between inscribed and central angles, and be able to identify them in a circle.
Apply this knowledge to solve complex problems, including finding missing angles and lengths when provided with an inscribed or a central angle and other relevant information.
Step 2. Generating Lesson Content...
1
A central angle is an angle whose vertex is located at the center of the circle.
A central angle is an angle whose vertex is located at the center of the circle.
1
Inscribed angles and central angles that intercept the same arc in a circle are always equal.
Inscribed angles and central angles that intercept the same arc in a circle are always equal.
1
If an inscribed angle in a circle intercepts a semicircle, the measure of the inscribed angle is 90 degrees.
If an inscribed angle in a circle intercepts a semicircle, the measure of the inscribed angle is 90 degrees.
1
In the same circle or in congruent circles, all inscribed angles that intercept the same arc are equal.
In the same circle or in congruent circles, all inscribed angles that intercept the same arc are equal.