# Ch 12: Praxis I Math: Geometry

### About This Chapter

## Praxis I Math: Geometry - Chapter Summary

As you work through this chapter, you can review some of the most basic tenets of mathematics as laid out by the ancient Greeks and Egyptians as part of your preparations for the Praxis Core Academic Skills for Educators: Mathematics exam. Refresh your knowledge on how the angles and faces of simple geometrical shapes relate to each other mathematically, and practice using those relationships to discover missing information such as the angle of a vertex or the length of a side.

After completing this chapter, you should be able to:

- Describe the properties of squares, rectangles and rhombuses
- List the different types of triangles
- Understand how to calculate the area of triangles and rectangles
- Explain how to determine the volume of simple shapes
- Understand the difference between area and volume
- Calculate the perimeter of a circle
- Know how to find the angle of a vertex

Each lesson within this chapter includes a brief video and text transcript. The included quizzes and chapter exam can also be used to test your understanding of the material before taking the Praxis Core: Mathematics test. For further explanation of key topics, you can always reach out to Study.com's professional educators.

### 1. Properties of Shapes: Rectangles, Squares and Rhombuses

What's the difference between a square and a rectangle? What about a rhombus and a square? In this lesson, we'll look at the properties of these shapes.

### 2. Properties of Shapes: Triangles

Isosceles, equilateral and obtuse, oh my! These are terms for triangles. But, what do they mean? In this lesson, we'll explore the properties of triangles and take a closer look at the different types of triangles you may encounter.

### 3. Properties of Shapes: Circles

Circles are fundamental to everything we do. But, did you know they're much more than just round shapes? In this lesson, we'll look at the various parts of circles and how they all relate.

### 4. Area of Triangles and Rectangles

How do you find out the area of rectangles and triangles? Learn how in this lesson! We'll look at the formulas, then practice solving problems for each shape.

### 5. Perimeter of Triangles and Rectangles

Without realizing it, we calculate and use the perimeter of triangles and rectangles in regular everyday situations. Learn more about the perimeter of triangles and rectangles in this lesson, and test your knowledge with a quiz.

### 6. How to Calculate the Volumes of Basic Shapes

Squares pegs = square holes. Triangular pegs = triangular holes. But where does a sphere go? In this lesson, review volumes of common shapes while contrasting a sphere and a cylinder - after all, they both go into the circular hole... right?

### 7. Angles and Triangles: Practice Problems

Want more practice solving with angle pairs? How about more review for solving angles in triangles? Look no further. Get more practice here, and test your ability with a quiz.

### 8. Interior and Exterior Angles of Triangles: Definition & Examples

Knowing just a few things about the interior or exterior angles of triangles is sometimes all you need to put all the pieces together. Find out more in this lesson.

### 9. Similarity in Geometric Shapes

View this lesson to learn how you can determine whether shapes are similar. Find out how to use the one rule that tells you when your two shapes are geometrically similar.

### 10. Congruence in Geometric Shapes

Watch this video lesson to learn how you can determine whether two shapes are congruent or not. You will learn what the one criterion is when determining congruency between two shapes.

### 11. Circles: Area and Circumference

Understanding how to calculate the area and circumference of circles plays a vital role in some of our everyday functions. They serve as the foundation for operating with three-dimensional figures. Learn more about the area and circumference of circles in this lesson.

### 12. Finding the Volume of a Rectangular Prism

Many shapes in our world, such as cereal boxes and bricks, are rectangular prisms. Often, we have to know how much volume a rectangular prism takes up. In this lesson, learn how to calculate the volume of a rectangular prism.

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### Other Chapters

Other chapters within the Praxis Core Academic Skills for Educators - Mathematics (5733): Study Guide & Practice course

- About the Praxis Math Core Test
- Praxis I Math: Integers, Fractions & Decimals
- Praxis I Math: Percents
- Praxis I Math: Rates
- Praxis I Math: Properties of Whole Numbers
- Praxis I Math: Solving Real-Life Problems
- Praxis I Math: Units, Conversion & Measurements
- Praxis I Math: Data & Statistics
- Praxis I Math: Properties of Basic Operations
- Praxis I Math: Algebra
- Praxis I Math: Linear & Quadratic Equations
- Praxis Core Academic Skills for Educators: Math Flashcards