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12.04 Inscribed angles and polygons

Interactive practice questions

Find the value of $x$x.

 

A circle with an inscribed angle is shown, with each points of the triangle touching the circumference of the circle. The angle intercepts an arc on the circle marked as 132 degrees. Directly opposite this arc, is an inscribed angle labeled as
A circle with an inscribed angle is shown, with each points of the angle touching the circumference of the circle. The angle intercepts an arc on the circle marked as 132 degrees. Directly opposite this arc, is an inscribed angle labeled as 'x' degrees
Easy
< 1min

Solve for $x$x.

Easy
< 1min

Find the measure of the minor arc $RT$RT.

Easy
< 1min

Find $m\angle ADB$mADB.

Easy
< 1min
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Outcomes

II.G.C.2

Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

II.G.C.3

Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

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