Ch 9: Solving Angle Problems with Triangles & Quadrilaterals

About This Chapter

Ensure you understand how to solve angle problems involving quadrilaterals and triangles with help from this informative chapter. This comprehensive study guide is made up of easy-to-use video and text lessons designed to help you study for an exam or complete your homework.

Solving Angle Problems with Triangles & Quadrilaterals - Chapter Summary

In this helpful chapter, you'll study how to solve angle problems with triangles and quadrilaterals. These lessons cover the Pythagorean theorem and its application, as well as some practice problems to help you solidify your understanding. Additional topics include solving 3D problems using the theorem, plus different types of triangles and their properties. After completing this chapter, you should be able to:

  • Outline special triangle rules and formulas
  • Detail the properties of shapes like trapezoids, polygons, parallelograms and quadrilaterals
  • Explain what the hierarchy of quadrilaterals is designed for
  • Define line of symmetry as it's used in geometric shapes
  • Measure polygon angles and find the sum
  • Understand how to find the number of diagonals in a polygon
  • Discuss the format of geometric proofs

It's easy to study for an exam or get caught up in class with our professionally designed learning materials. Each lesson is accompanied by a multiple-choice quiz that will help you review these topics and identify any that need more study. Our video lessons are generally less than 10 minutes long and easy to navigate using the video tabs feature found in the Timeline. Feel free to study on your mobile phone, tablet or computer any time that works well for you.

11 Lessons in Chapter 9: Solving Angle Problems with Triangles & Quadrilaterals
Test your knowledge with a 30-question chapter practice test
Pythagorean Theorem: Definition & Example

1. Pythagorean Theorem: Definition & Example

Learn what the Pythagorean Theorem says about a right triangle and the relationships of its three sides to each other by watching this video lesson. Also learn how you can use this to your advantage when solving problems.

The Pythagorean Theorem: Practice and Application

2. 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.

Using the Pythagorean Theorem to Solve 3D Problems

3. Using the Pythagorean Theorem to Solve 3D Problems

The Pythagorean Theorem is a fascinating formula often used to solve two-dimensional problems. This lesson will explain how to extend this concept to three-dimensional problems in two ways.

Types of Triangles & Their Properties

4. Types of Triangles & Their Properties

This lesson introduces different types of triangles. We'll discuss some different characteristics that are common to all triangles and some properties that are unique to certain types of triangles.

Special Triangle: Rules & Formulas

5. Special Triangle: Rules & Formulas

Finding the missing side of a triangle is pretty simple when that triangle is 'special'. In this lesson, you will learn about two types of special right triangles, their properties and shortcuts to find the missing side length.

Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, Polygons

6. Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, Polygons

Four-sided objects are more than just squares and rectangles. In this lesson, we'll discuss quadrilaterals, parallelograms and trapezoids. We'll also discuss polygons, objects that can have more sides than you can count.

What is the Hierarchy of Quadrilaterals?

7. What is the Hierarchy of Quadrilaterals?

Quadrilaterals are all around us in the real world. This lesson will explore different types of quadrilaterals and look at how to classify various quadrilaterals using definitions that lead to the hierarchy of quadrilaterals.

What is a Line of Symmetry in Geometric Shapes?

8. What is a Line of Symmetry in Geometric Shapes?

After viewing this lesson, you should be able to identify shapes that have a line of symmetry in them and know how to find where this line is. A short quiz to test your knowledge will follow the lesson.

How to Measure the Angles of a Polygon & Find the Sum

9. How to Measure the Angles of a Polygon & Find the Sum

Watch this video lesson to learn the one formula that lets you find the measure of angles in any regular polygon. Also, learn how you can tell if you are working with a regular polygon or not.

How to Find the Number of Diagonals in a Polygon

10. How to Find the Number of Diagonals in a Polygon

At first, you might think that the diagonals of a polygon are pretty useless, but watch this video lesson to learn how diagonals are used in real life. You will learn the formula to find how many diagonals a polygon has as well as how to use it.

Geometric Proofs: Definition and Format

11. Geometric Proofs: Definition and Format

Do you have something to prove? Can you explain why? In this lesson, we'll learn all about geometric proofs, including the parts that comprise a proof.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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