Circles Revisited

Discusses six examples that discover supplementary geometry theorems by using three elementary theorems about the relationships between angles and intercepted arcs in circles. Topics in the examples include angles formed by parallel lines and the sum of the interior angles of triangles, convex quadr...

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Bibliographic Details
Published inThe Mathematics teacher Vol. 85; no. 7; pp. 573 - 577
Main Author Burke, Maurice
Format Journal Article
LanguageEnglish
Published Reston National Council of Teachers of Mathematics 01.10.1992
Subjects
Circles
Discovery Learning
Geometric Concepts
Geometry
Hexagons
High Schools
Learning Activities
Logical theorems
Mathematical Enrichment
Mathematical theorems
Mathematics Education
Mathematics Instruction
Parallel lines
Polygons
Proof (Mathematics)
Theorems
Triangles
Triangles (Geometry)
Vertices
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Summary:Discusses six examples that discover supplementary geometry theorems by using three elementary theorems about the relationships between angles and intercepted arcs in circles. Topics in the examples include angles formed by parallel lines and the sum of the interior angles of triangles, convex quadrilaterals, star polygons, and hexagons. (MDH)
ISSN:0025-5769
2330-0582
DOI:10.5951/MT.85.7.0573