Circle Theorems
In this section we are going to look at Circle Theorems, and other properties of circles.
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Explore how these two angles are related in a circle.
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Learn about how these angles are related.
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Angles in a Semicircle (AGG/GGB)
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Investigate what angles you get when you have a triangle in a circle, where one of the edges is a diameter.
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Learn about the angle in a semicircle.
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Angles in Cyclic Quadrilaterals (AGG/GGB)
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Investigate the angles of a Cyclic Quadrilateral (a quadrilateral whose vertices lie on the circumference of a circle).
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Learn about the relationship between angles in cyclic quadrilaterals.
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Angles in the Same Segment (AGG/GGB)
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Investigate how angles that are in the same segment of a circle are related.
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Learn about how angles in the same segment (or subtended by the same chord) are related.
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Tangents (AGG/GGB)
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Investigate what a tangent is, and how it is related to a circle.
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Tangents (Video)
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Learn what a tangent is, and how it relates to the radius of a circle.
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Investigate what is meant by the Alternate Segment Theorem, and what it tells us about the angles within a triangle in a circle.
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Intersecting Tangents (AGG/GGB)
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Investigate the relationship between lengths of intersecting tangents.
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Intersecting Tangents (Video)
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Learn about what happens when two tangents intersect.
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Intersecting Chords (GGB)
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Investigate the relationship between different lengths of intersecting chords.
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