Ch 40: GACE Middle Grades Math: Triangles

About This Chapter

Do you have what it takes to teach middle school students about triangles? If you're unsure or just need a refresher, take a look at the lessons, taught via video, to get you ready for the GACE Middle Grades Math test.

GACE Middle Grades Math: Triangles - Chapter Summary

Let the lessons help you understand the basic properties and functions of triangles so that you're well-rounded for the GACE Middle Grades Math test. Use the lessons' practice problems to strengthen what you already know. The following are topics included in this chapter and may appear on the exam:

  • Meaning and properties of triangles
  • Categorization of triangles by sides and angles
  • Spotting the exterior and interior angles
  • Identifying similar triangles
  • Geometric construction
  • Concurrent lines
  • Angle, median and altitude bisectors
  • Creating the triangle's median

You can take a short practice quiz after you complete each lesson. Gauge your overall understanding of the material covered with the chapter exam.

9 Lessons in Chapter 40: GACE Middle Grades Math: 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.

Classifying Triangles by Angles and Sides

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.

Interior and Exterior Angles of Triangles: Definition & Examples

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.

How to Identify Similar Triangles

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.

Angles and Triangles: Practice Problems

5. 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.

Constructing the Median of a Triangle

6. Constructing the Median of a Triangle

If you have one triangle and want to divide it, you can use a median line. Medians have special geometric properties that we'll learn about in this lesson.

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.

Constructing Triangles: Types of Geometric Construction

8. Constructing Triangles: Types of Geometric Construction

When you're asked to construct a triangle, it's time to break out that compass and straight edge! In this lesson, find out how to construct triangles no matter what you're given.

Properties of Concurrent Lines in a Triangle

9. 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.

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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Other Chapters

Other chapters within the GACE Middle Grades Mathematics (013): Practice & Study Guide course

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