Cyclic Quadrilaterals
Understanding the properties of angles in cyclic quadrilaterals.
About This Topic
Understanding the properties of angles in cyclic quadrilaterals.
Key Questions
- Explain what makes the opposite angles of a cyclic quadrilateral unique compared to other quadrilaterals.
- Construct a proof for the property of opposite angles in a cyclic quadrilateral.
- Analyze how to determine if a given quadrilateral is cyclic.
Active Learning Ideas
See all activities→Activities & Teaching Strategies
See all activities
Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
Unit PlannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
RubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Geometry of Circles
Introduction to Circle Terminology
Defining and identifying parts of a circle: radius, diameter, chord, arc, sector, segment, tangent, secant.
8 methodologies
Angle Properties of Circles I
Investigating angles at the center and circumference subtended by the same arc.
8 methodologies
Angle Properties of Circles II
Exploring angles in a semicircle and angles in the same segment.
8 methodologies
Tangents and Radii
Studying the perpendicular property of tangents and radii.
8 methodologies
Tangents from an External Point
Investigating the properties of tangents drawn from an external point to a circle.
8 methodologies
Chords and Perpendicular Bisectors
Studying the perpendicular properties of chords and the line from the center.
8 methodologies