Ch 16: HiSET Mathematics: Properties of Triangles

About This Chapter

This chapter gets you ready for any HiSET Mathematics questions based on the properties of triangles. Our professional instructors cover several chapter lessons in a video format for your preparation.

HiSET Mathematics: Properties of Triangles - Chapter Summary

Identifying similar triangles and classifying triangles by angles and sides are among the subject matter you'll become well-versed in when you study this chapter. HiSET Mathematics prep material found in other areas of this chapter focuses on:

  • The Pythagorean theorem
  • Area and perimeter of triangles and rectangles
  • Triangle altitude, median and angle bisectors
  • Classifying triangles and recognizing similar triangles
  • Properties of concurrent lines in a triangle
  • Triangle interior and exterior angles
  • Properties of right triangles and dilations

The lesson transcripts that go along with the fun chapter videos have bold key terms to pay particular attention to as you're studying. Your grasp of these key terms and other pivotal lesson pieces can be quickly assessed in the practice quizzes as you progress through the chapter.

Objectives of the HiSET Mathematics: Properties of Triangles Chapter

The HiSET Mathematics subtest evaluates your aptitude in the subject with various quantitative problems. It is one of the five subtests of this high school equivalency exam. The Mathematics subtest contains 50 multiple-choice questions overall including the ones targeting this chapter's content. You'll have 90 minutes to complete the subtest and you'll be allowed to have a calculator if you'd like to use one.

11 Lessons in Chapter 16: HiSET Mathematics: Properties of Triangles
Test your knowledge with a 30-question chapter practice test
Triangles: Definition and Properties

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.

Area of Triangles and Rectangles

2. 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.

Classifying Triangles by Angles and Sides

3. 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.

Perimeter of Triangles and Rectangles

4. 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.

Interior and Exterior Angles of Triangles: Definition & Examples

5. 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.

How to Identify Similar Triangles

6. 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.

Median, Altitude, and Angle Bisectors of a Triangle

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.

Properties of Concurrent Lines in a Triangle

8. 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.

Properties of Right Triangles: Theorems & Proofs

9. Properties of Right Triangles: Theorems & Proofs

In this lesson, you will learn about the properties of and theorems associated with right triangles, which have a wide range of applications in math and science. Specifically, we will discuss and prove the Pythagorean theorem and the right triangle altitude theorem. Let's get started.

The Pythagorean Theorem: Practice and Application

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.

The Pythagorean Theorem: Converse and Special Cases

11. The Pythagorean Theorem: Converse and Special Cases

The Pythagorean Theorem is a famous theorem for right triangles. Watch this video to learn how the Pythagorean Theorem relates to the law of cosines and how the converse of the Pythagorean Theorem can help you identify right triangles.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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