Intermediate Geometry

Intermediate Geometry explores the properties and relationships of shapes, sizes, and theorems in two and three dimensions.

Properties of TrianglesPolygons and Their PropertiesCircles and Their Elements
Similarity and CongruenceThe Pythagorean Theorem and DistanceVolume and Surface Area of 3D Shapes
Geometry in ArchitectureNavigation and MappingDesign and Art
Breaking Down Complex ProblemsChecking Your Answers
Properties of Triang...Polygons and Their P...Circles and Their El...Similarity and Congr...The Pythagorean Theo...Volume and Surface A...Geometry in Architec...Navigation and Mappi...Design and ArtBreaking Down Comple...Checking Your Answer...
Practical Applications

Geometry in Architecture

Building with Shapes

Architects use geometry to design safe, beautiful, and functional buildings. Understanding angles, symmetry, and 3D shapes helps them create structures that are strong and pleasing to the eye.

Examples in the Real World

  • The use of triangles in bridges for strength.
  • Domes and arches use circles and curves for stability.
  • Floor plans rely on polygons for efficient use of space.

Geometry makes the difference between a wobbly building and a masterpiece!

Examples

  • The Eiffel Tower uses triangles for its framework.

  • Geodesic domes use hexagons and pentagons to create strong roofs.

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Navigation and Mapping