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...
Study Strategies

Checking Your Answers

Make Sure Your Solution Makes Sense

In geometry, it’s easy to make small mistakes. Always check your work:

  • Double-check calculations and units.
  • See if your answer is reasonable (can a side really be longer than the perimeter?).
  • Re-read the problem to ensure you answered the correct question.
  • If possible, use a different method to verify your result.

Careful checking can catch errors before they cost you points!

Examples

  • Quickly plugging your answer back into the original formula to verify it works.

  • Estimating the size of an angle to see if your calculation is reasonable.