About This Chapter
SAT Math: Triangles and Trigonometric Ratios - Chapter Summary
Look to this chapter on triangles and trigonometric ratios to build upon what you've learned in math class about different types of triangles, methods of identifying them, solving problems with similar triangles and the properties of special right triangles. The purpose of the Pythagorean theorem is also outlined in this chapter's online videos. Prior to taking the SAT Math examination, watch the lessons so that you may:
- Examine the basic properties of triangles
- Recognize similar triangles and understand their applications
- Use the properties of special right triangles to solve problems
- Calculate trigonometry problems with sine and cosine
- Study trigonometric ratios and discover how to use them
- Practice using and calculating distance with the Pythagorean theorem
Get set to take the mathematics portion of the SAT examination with the help of these preparatory video lessons. Experienced math experts lead the short, engaging lessons, which can be accessed via your mobile device. Click the video tab to watch an animated lesson. Pause and rewind the video as necessary. The course tab includes a link to a page that has a related course, and the quiz tab permits you to take a five-question multiple-choice assessment that tests your comprehension of triangles and trigonometric ratios.
SAT Math: Triangles and Trigonometric Ratios Chapter Objectives
The Additional Topics in Math section of the examination includes questions related to the topics that are covered in this chapter. For example, you could be tested on similarities, the Pythagorean theorem and the special properties of various triangles. The overall math section of the paper-delivered SAT examination includes 58 questions that must be answered in 80 minutes. There are 45 standard multiple-choice questions and 13 student-produced response questions. When addressing the latter questions, you'll write your answers on a special grid.
1. 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.
2. 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.
3. 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.
4. 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.
5. Trigonometry: Sine and Cosine
Learn an easy trick to help you solve trigonometry problems, including problems with sine, cosine and inverse trig functions. At the end of this lesson, you'll know what SohCahToa means and how to use it.
6. Trigonometric Ratios and Similarity
Where do terms like sine, cosine and tangent come from? In this lesson, we'll learn about how similarity with right triangles leads to trigonometric ratios.
7. 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.
8. 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.
9. Practice Finding the Trigonometric Ratios
So you know what sine, cosine and tangent are. Great! But how do you use them? Find out how in this lesson as we find missing sides and angles using trigonometric ratios.
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Other chapters within the SAT Prep: Practice & Study Guide course
- SAT: About the Test
- SAT Writing: About the Writing Section
- SAT Writing: Text & Argument Analysis
- SAT Writing: Word Choice & Expression
- SAT Writing: Standard English Grammar
- SAT Writing: Writing & Language Test Practice
- SAT Writing: The Essay Portion
- SAT Writing: Planning and Writing Your Essay
- SAT Writing: Parts of an Essay
- SAT Writing: Sentence Clarity and Structure
- SAT Writing: Essay Writing Skills
- SAT Writing: How to Write An Argument
- SAT Writing: Supporting Your Writing
- SAT Writing: Revising Your Writing
- SAT Reading: About the Reading Section
- SAT Reading: Reading Passages
- SAT Reading: Understanding Reading Passages
- SAT Reading: Interpreting & Analyzing Text
- SAT Reading: Literary Terms
- SAT Reading: US Documents & Speeches
- SAT Vocabulary Practice
- SAT Math: About the Math Section
- SAT Math: Numbers and Operations
- SAT Math: Exponents
- SAT Math: Equations and Expressions
- SAT Math: Rational Equations and Expressions
- SAT Math: Inequalities
- SAT Math: Functions
- SAT Math: Quadratic Equations
- SAT Math: Ratios, Rates & Proportional Relationships
- SAT Math: Unit Rate & Measurement Conversions
- SAT Math: Geometry and Measurement
- SAT Math: Data Analysis, Statistics and Probability
- SAT Prep Flashcards
- SAT Flashcards