Foundations Level

Geometry

Build a strong foundation in geometric concepts including area, perimeter, and angles.

What You'll Learn

Area & Perimeter

Calculate area and perimeter of rectangles, triangles, and other basic shapes.

Basic Angles

Work with complementary, supplementary, and vertical angles.

Coordinate Geometry

Find distance between points and midpoint of line segments.

Basic Shapes

Understand properties of triangles, quadrilaterals, and polygons.

Key Concepts

  • Triangle Area: A = (1/2)bh where b is base and h is height
  • Angle Sum: Interior angles of a triangle sum to 180°
  • Distance Formula: d = √[(x₂-x₁)² + (y₂-y₁)²]
  • Midpoint Formula: M = ((x₁+x₂)/2, (y₁+y₂)/2)
  • Pythagorean Theorem: a² + b² = c² for right triangles

Example Problem

A rectangle has a length of 8 cm and a width of 5 cm. What is its area?

Solution:

Area of rectangle = length × width

A = 8 × 5 = 40 cm²

Study Tips

  • Draw diagrams when solving geometry problems - visualization is key
  • Label all given information on your diagram before starting calculations
  • Remember that area is measured in square units, perimeter in linear units
  • Memorize formulas for common shapes - they won't always be provided

Start Practicing

Ready to test your skills? Choose how you want to study: