Section outline

  • Modern glass tunnel with white triangular beams and central walkway.

    We are surrounded by all sorts of geometry. Architects use geometry to design buildings. Artists create vivid images out of colorful geometric shapes. Street signs, automobiles, and product packaging all take advantage of geometric properties. In this chapter, we will begin by considering a formal approach to solving problems and use this use this problem-solving strategy to explore geometry and relate it to everyday situations. 

    (Note: Later in this course, we will use the same problem-solving strategy to solve a variety of common problems, including making decisions about money.)

    Image Caption: Note the many individual shapes in this building. (credit: Bert Kaufmann, Flickr)

    (Content & Image Source: Chapter 9 Introduction, Prealgebra 2e, Lynn Marecek/MaryAnne Anthony-Smith/Andrea Honeycutt Mathis, OpenStax, CC BY 4.0 License)

    Upon completion of this module, you will be able to:

    Section 1.1 Use Properties of Angles, Triangles, and the Pythagorean Theorem
    • Use the properties of angles (CLO2)
    • Use the properties of triangles (CLO2)
    • Use the Pythagorean Theorem (CLO2, CLO3, CLO6)

    Section 1.2 Use Properties of Rectangles, Triangles and Quadrilaterals
    • Understand linear, square, and cubic measure (CLO2)
    • Use properties of rectangles and parallelograms (CLO2)
    • Use properties of triangles (CLO2)
    • Use properties of trapezoids and kites (CLO2)

    Section 1.3 Solve Geometry Applications: Circles and Irregular Figures
    • Use the properties of circles (CLO2)
    • Find the area of irregular figures (CLO2, CLO6)

    Section 1.4 Solve Geometry Applications: Volume and Surface Area
    • Find volume and surface area of rectangular solids (CLO2)
    • Find volume and surface area of spheres (CLO2)
    • Find volume and surface area of cylinders (CLO2)
    • Find volume and surface area of cones (CLO2, CLO6)


    (Note: Alignment of MLOs might be needed if this course is taught as a co-requisite.)


    To achieve these objectives:
    1. Read the Module 2 Introduction (see above).
    2. Read Sections 1.1 - 1.4 of Chapter 1: Geometry in Applied Algebra (links to each Section provided below)
      • At the end of each Section there is a list of Key Concepts, Section Exercises, and a Glossary of terms
    3. Complete the MyOpenMath Homework Assignments for each Section (links provided below) - These are graded!
    4. Complete the MyOpenMath Quiz for Chapter 1 (link provided below) - This is graded!
    5. Once you complete the Quiz, upload your work in the Quiz for Chapter 1 Work Upload Assignment using the submission link below.
    6. Post in the Chapter 1 Q&A Discussion Forum - link provided below.
    7. Complete the Digital Skills - Using the online graphing calculator (Chapter 1) (link provided below) - This is graded!
    8. Complete the Digital Skills - Using AI for math help (Chapter 1) (link provided below) - This is graded!

    Note the check boxes to the right that help you track your progress: some are automatic, and some are manual.

    Module Pressbooks Resources and Activities

    You will find the following resources and activities in this module at the Pressbooks website. Click on the links below to access or complete each item.

    For select assessments in this course, students will be allowed to use the following links to online graphing calculators:

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