Mississippi Math G-C.2
The Standard
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.
2025 Mississippi College- and Career-Readiness Standards for Mathematics · Understand and Apply Theorems about Circles
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students connect chords and arcs to angles in a circle. They find central, inscribed, and two-tangent angles. They spot right angles across a diameter and where a radius meets a tangent.
What Mastery Looks Like
- Given an 80° central angle, they find a 40° inscribed angle on the same arc and a 100° angle between tangents at the arc's endpoints. They recognize that equal chords intercept equal arcs. They mark 90° at an angle subtending a diameter and where a tangent meets a radius.
Common Misconceptions
- Students may give a central angle and an inscribed angle the same measure when they intercept the same arc. They may give the angle between two tangents the central angle's measure instead of subtracting it from 180°. They may call any angle near a diameter 90° without checking its sides.
How to Assess It
- Draw a circle with central angle AOB = 80°, C on the major arc AB, and tangents at A and B meeting at P. Ask students to find angles ACB and APB and explain one answer.
Lesson moves
Ways to Teach It
Give pairs paper circles, rulers, and protractors to draw equal chords, measure their arcs, and compare central and inscribed angles.
Show a triangle drawn inside a circle with a diameter as one side; ask, 'Why is the angle at the third vertex 90°?'
Play angle-match cards: students pair each central angle card with its matching inscribed angle and two-tangent angle cards.
Use a photo of a bicycle wheel touching the road; draw a radius to the contact point and mark its angle with the road.
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Printable G-C.2 Worksheet
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