Circle Theorems: Triangles in Circles WORKSHEET
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.
Circle Theorems: Triangles in Circles WORKSHEET DESCRIPTION
This worksheet focuses on exploring triangles within circles and their associated angle properties.
The first section introduces diagrams involving radii, guiding students to calculate missing angles using their knowledge of angles in isosceles triangles. In the second section, the triangles inscribed in the circles are formed using the diameter. Hence, introducing the theorem “the angle in a semicircle at the circumference”.
With its clear focus on foundational concepts, this worksheet serves as an ideal starting point before teaching more of the standard circle theorems, ensuring students gain confidence in working with triangles in circles.
Three letter angle notation is used throughout.
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This circle theorems: triangles in circles worksheet is designed for students in 7th Grade and Geometry and aligns with Common Core State Standards.