10 Geometry

Geometry, from the Greek Geo for earth and metry for measure, is the study of shapes. Here we introduce you to some of its basic concepts. Every closed shape has a perimeter, an edge, and an area. Every shape made of straight lines has angles associated with it. The simplest of closed shapes that can be made of straight lines are triangles. At the end of this modules you will learn the Pythagorean Theorem and use it to calculate lengths and distances.

10.1 Perimeter

- Calculate the perimeter of a rectangle, square, and triangle.
- Determine the circumference of a circle given the diameter or radius.
- Use \pi \equals 3.14 for estimates and \pi for exact answers.

  • Perimeter

  • Circumference of a Circle

10.2 Area

- Calculate the area of basic shapes: rectangle, triangle, parallelogram, trapezoid or circle.

  • Area of a Rectangle

  • Area of a Triangle

  • Area of Parallelograms & Trapezoids

  • Area of a Circle

10.3 Angles

- Find complementary and supplementary angles to a given angle.
- Find angles from given information using parallel lines cut by a transversal.

  • Classifying Angles

  • Intersecting Lines & Angles

10.4 Triangles

- Classify triangles as acute, right, obtuse.
- Classify triangles as isosceles, equilateral, or scalene.
- Find the third angle when two angles are given.
- Calculate the missing side of a triangle using the Pythagorean Theorem.

  • Angles of a Triangle

  • The Pythagorean Theorem

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Topics

1 Whole Numbers
2 Fractions
3 Decimals
4 Ratio & Proportion
5 Tables & Graphs
6 The Real Numbers
7 Solving Linear Equations
8 Graphing Linear Equations
9 Systems of Equations
10 Geometry
11 Polynomials
12 Factoring
13 Rational Expressions & Equations
14 Exponents & Radicals
15 Quadratic Equations
16 Introduction to Functions
19 Exponential and Logarithmic Functions