About This Chapter
Properties of Triangles - Chapter Summary
Instructors teaching this chapter discuss triangle properties along with tips for classifying and identifying similar triangles so you can ace these types of questions on the SAT level 1 mathematics subject test. Lessons cover the following topics:
- Triangle angles and sides
- Interior and exterior angles
- Properties of concurrent lines
- Median, altitude and angle bisectors
- The Pythagorean theorem
If you're getting ready to take this SAT subject test, our instructional videos and transcripts could prove to be a useful study tool. Lessons are taught by knowledgeable instructors who include plenty of illustrations and examples to drive home key points. Short multiple-choice quizzes are also available to help affirm your understanding of these concepts, pinpoint areas requiring additional study and familiarize you with test question formatting.
Properties of Triangles - Chapter Objectives
Lessons in this chapter are designed to help you prepare for the SAT level 1 math exam's geometry and measurement questions, which comprise roughly 40% of the test and cover such topics as right triangle trigonometry and coordinate geometry.
Your scores on these and other content domains covering algebra, functions, number operations, statistics and probability can be used to meet college admissions requirements or make your application stand out if math is an area where you excel. College admissions departments might also use your scores on the subject test to place you in the appropriate math classes.
1. Triangles: Definition and Properties
What makes a shape a triangle? In this lesson, we'll explore the definition of a triangle, then analyze the parts of triangles, including the vertices, base and height.
2. Classifying Triangles by Angles and Sides
Not all triangles are the same. There are equilateral, isosceles and scalene triangles. Then there are right, acute and obtuse triangles. In this lesson, we'll learn how to classify triangles using their sides and angles.
3. 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.
4. 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.
5. 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.
6. Properties of Concurrent Lines in a Triangle
Centroids, orthocenters, incenters, circumcenters, oh my! Don't worry though. In this lesson, we master the various terms for concurrent lines in triangles and match them to altitudes, angle bisectors, perpendicular bisectors and medians.
7. Median, Altitude, and Angle Bisectors of a Triangle
Line segments in triangles are just clutter; they have special names and qualities depending on how they're drawn. In this lesson, we'll learn about medians, altitudes and angle bisectors.
8. 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.
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Other chapters within the SAT Subject Test Mathematics Level 1: Practice and Study Guide course
- Basic Arithmetic Calculations
- Rational Numbers
- Square Roots
- Decimals and Percents
- Basic Algebraic Expressions
- Algebraic Linear Equations & Inequalities
- Algebra: Absolute Value Equations & Inequalities
- Algebra: Polynomials
- Understanding the Basics of Functions
- Algebra: Rational Expressions
- Mathematical Sequences
- Understanding Exponentials & Logarithms
- Complex and Imaginary Numbers
- Coordinate Geometry - Graphing
- Lines and Angles
- Properties of Circles
- Finding Perimeter, Area & Volume
- Solid Geometry
- Trigonometry Basics
- Understanding Probability & Statistics
- SAT Subject Test Mathematics Level 1 Flashcards