MA19.GDA.37

Mathematics (2019) Grade(s): 09-12 - Geometry with Data Analysis

MA19.GDA.37
Investigate and apply relationships among inscribed angles, radii, and chords, including but not limited to: 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.

Unpacked Content

Knowledge

Students know:

Definitions and characteristics of central, inscribed, and circumscribed angles in a circle.
Techniques to find measures of angles including using technology (dynamic geometry software).

Skills

Students are able to:

Explain and justify possible relationships among central, inscribed, and circumscribed angles sharing intersection points on the circle.
Accurately find measures of angles (including using technology (dynamic geometry software)) formed from inscribed angles, radii, chords, central angles, circumscribed angles, and tangents.

Understanding

Students understand that:

Relationships that exist among inscribed angles, radii, and chords may be used to find the measures of other angles when appropriate conditions are given.
Identifying and justifying relationships exist in geometric figures.

Vocabulary

Central angles
Inscribed angles
Circumscribed angles
Chord
Circumscribed
Tangent
Perpendicular arc

Aligned Learning Resources

Robot Motion (Episode 105) | The Robot Doctor

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