1
Circle Basics
Distinguish key circle elements in diagrams
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Circles
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2
Tangent Basics
Identify where a tangent touches a circle at exactly one point
3
Radius-Tangent Theorem
Explain that tangent at point of contact is perpendicular to radius
4
Radius-Tangent Theorem
Write the proof that radius to point of contact is perpendicular to tangent
5
Radius-Tangent Applications
Use perpendicularity to solve angle problems
6
Radius-Tangent Applications
Apply Pythagoras theorem with radius and tangent segments
7
Equal Tangents Theorem
Explain that tangents from an external point to a circle are equal
8
Equal Tangents Theorem
Use congruent triangles to prove equal tangent lengths
9
Equal Tangents Applications
Use equality of tangents to solve length problems
10
Equal Tangents Applications
Use equal tangent segments around circles and polygons
11
Combined Problems
Use tangent properties with angle, length and triangle facts
12
Proof Writing
Present clear theorem-based reasoning for circle problems
13
Error Analysis
Detect when a line is not proven tangent or point of contact is unclear
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