# Ch 25: GRE Quantitative Reasoning: Plane Geometry

### About This Chapter

## GRE Quantitative Reasoning: Plane Geometry - Chapter Summary

Use our GRE review lessons to master the basics of plane geometry. These videos provide instruction in geometric concepts you'll need to understand to achieve success on the GRE's quantitative component. Tutorials cover such subjects as:

- Angles
- Shapes
- Perimeter
- Area
- Volume
- The Pythagorean Theorem

In this chapter's lessons, lectures address fundamentals of plane geometry, while corresponding quizzes give you the opportunity to see how well you understand the information. Each individual topic is presented in a brief but detailed video to help you assimilate the lessons and do well on the GRE.

### GRE Quantitative Reasoning Objectives

The GRE is a test used to determine how prepared a student is for the rigors of a graduate academic program. The quantitative reasoning portion of the exam makes up a little more than a third of the test, and it includes multiple-choice and open-ended questions. Our instructional videos on plane geometry teach you about the geometric principles you'll encounter on this section of the GRE. Some of the topics covered in the plane geometry lessons include:

- Identifying various types of angles
- Calculating the perimeter of rectangles and triangles
- Deriving the circumference of a circle
- Determining a shape's area
- Finding the volume of different shapes
- Using visualization to solve geometry problems
- Recognizing and utilizing similar triangles
- Understanding the Pythagorean Theorem

In the GRE's quantitative reasoning section, you'll find multiple-choice questions that may have a single answer or more than one correct response. There are also questions that require the calculation and provision of a numerical answer. There are also multiple-choice problems that ask you to examine two given quantities and then select the answer that describes the relationship between their respective values.

### 1. Types of Angles: Vertical, Corresponding, Alternate Interior & Others

In addition to basic right, acute, or obtuse angles, there are many other types of angles or angle relationships. In this lesson, we will learn to identify these angle relationships and discuss their measurements.

### 2. 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.

### 3. 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.

### 4. 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.

### 5. How to Solve Visualizing Geometry Problems

A picture is worth a thousand words, but sometimes drawing that picture can be like doing origami with your eyes closed. Practice translating complex problems into simple, meaningful images in this lesson.

### 6. 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.

### 7. 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.

### 8. Applications of Similar Triangles

Similar triangles are used to solve problems in everyday situations. Learn how to solve with similar triangles here, and then test your understanding with a quiz.

### 9. How to Identify Similar Triangles

Similar triangles have the same characteristics as similar figures but can be identified much more easily. Learn the shortcuts for identifying similar triangles here and test your ability with a quiz.

### 10. The Pythagorean Theorem: Practice and Application

The Pythagorean theorem is one of the most famous geometric theorems. Written by the Greek mathematician Pythagoras, this theorem makes it possible to find a missing side length of a right triangle. Learn more about the famous theorem here and test your understanding with a quiz.

### 11. Special Right Triangles: Types and Properties

Not all right triangles are the same. In this lesson, we'll look at two special right triangles (30-60-90 and 45-45-90) that have unique properties to help you quickly and easily solve certain triangle problems.

### 12. Finding Distance with the Pythagorean Theorem

How much faster is it to cut the corners in a race around the block? In this lesson, review the Pythagorean Theorem, and figure out how to solve without a right triangle.

### 13. 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?

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### Other Chapters

Other chapters within the GRE Test: Practice & Study Guide course

- GRE: About the Test
- GRE Verbal Reasoning: About the Verbal Reasoning Section
- GRE Verbal Reasoning: Reading Skills
- GRE Verbal Reasoning: Vocabulary Skills
- GRE Analytical Writing: About the Analytical Writing Measure
- GRE Analytical Writing: Crafting Your Argument
- GRE Analytical Writing: Planning Your Essay
- GRE Analytical Writing: Starting Your Essay
- GRE Analytical Writing: Writing the Essay Body
- GRE Analytical Writing: Editing Your Essay
- GRE Analytical Writing: Writing Technique
- GRE Analytical Writing: Writing Stronger Sentences
- GRE Analytical Writing: Grammar and Usage
- GRE Quantitative Reasoning: About the Quantitative Reasoning Section
- GRE Quantitative Reasoning: Numbers and Operations
- GRE Quantitative Reasoning: Fractions, Decimals & Mixed Numbers
- GRE Quantitative Reasoning: Sequences and Series
- GRE Quantitative Reasoning: Equations and Expressions
- GRE Quantitative Reasoning: Factoring with FOIL, Graphing Parabolas and Solving Quadratics
- GRE Quantitative Reasoning: Exponents & Roots
- GRE Quantitative Reasoning: Functions
- GRE Quantitative Reasoning: Rational Equations and Expressions
- GRE Quantitative Reasoning: Inequalities
- GRE Quantitative Reasoning: Practical Applications
- GRE Quantitative Reasoning: Coordinate Geometry
- GRE Quantitative Reasoning: Probability and Statistics
- GRE Quantitative Reasoning: Interpreting Statistical Data
- GRE Quantitative Reasoning: Sets
- GRE Flashcards
- GRE Test Flashcards