Introduction to Using Properties of Angles, Triangles, and The Pythagorean Theorem

Part of a glass building is shown. The structure is made up of individual shapes.

Note the many individual shapes in this building.

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 module, we will begin by considering a formal approach to solving problems and use it to solve a variety of common problems, including making decisions about money. Then we will explore geometry and relate it to everyday situations using the problem-solving strategy we develop.

Learning Outcomes

By the end of this section, you will be able to:

Use the properties of angles
Use the properties of triangles
Use the Pythagorean Theorem

Before you get started in this module, try a few practice problems and review prior concepts.

readiness quiz

Before you get started, take this readiness quiz.

Solve: [latex]x+3+6=11[/latex].If you missed this problem, review [link].
Solve: [latex]\frac{a}{45}=\frac{4}{3}[/latex].If you missed this problem, review [link].
Simplify: [latex]\sqrt{36+64}[/latex].If you missed this problem, review [link].

Licenses & Attributions

CC licensed content, Shared previously

Glass canopy at the Liege-Guillemins railway station, designed by Santiago Calatrava. Authored by: Bert Kaufmann. Located at: https://www.flickr.com/photos/22746515@N02/5377120535/. License: CC BY: Attribution.

CC licensed content, Specific attribution

Prealgebra. Provided by: OpenStax License: CC BY: Attribution. License terms: Download for free at http://cnx.org/contents/[email protected].

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