About This Chapter
Geometric Angles & Transformation - Chapter Summary
If you need help grasping the basics of geometric angles and transformation, you've reached the right place. This short chapter offers an in-depth examination of various types of angles, the AAS theorem, transformations in math and other related concepts. Review engaging lessons to improve your knowledge of these concepts and enable yourself to:
- Estimate angle measures
- Locate adjacent, vertical, supplementary and complementary angles
- Find interior angles
- Describe right, straight, vertical, corresponding and other types of angles
- Measure the angles of a polygon and find the sum
- Use triangle congruence postulates to determine if two triangles are congruent
- Define and provide examples of a scale factor
- Solve real world problems with compass bearings
This chapter offers the convenience of studying geometric angles and transformations from home or anywhere you can access the Internet. Lessons are available 24/7 and can be viewed using any computer, smartphone or tablet. Boost your knowledge of this subject by reviewing the lessons, and assess your comprehension by taking multiple-choice quizzes and a practice exam. If you have questions about topics covered in this chapter, feel free to send them to our experts.
1. How to Estimate Angle Measures
In real life it takes special equipment to accurately measure angles, but you can make a pretty good guess if you know a few tricks. We'll discuss some of those in this lesson.
2. Complementary, Supplementary, Vertical & Adjacent Angles
After watching this video lesson, you will know how to locate complementary, supplementary, vertical, and adjacent angles. You will understand how easy it is to visually see them. You will also know what to look for.
3. How to Find Interior Angles
After completing this lesson, you will be able to describe what an interior angle is and find its measurements. We will explore interior angles in regular polygons such as equilateral triangles, squares, and pentagons.
4. Types of Angles: Right, Straight, Acute & Obtuse
Angles are everywhere. Learn about the different types of angles we use in mathematics, including right angles, acute angles, obtuse angles, and straight angles. See if you can tell the difference with a quiz.
5. Types of Angles: Vertical, Corresponding, Alternate Interior & Others
In addition to basic right, acute, or obtuse angles, there are many other types of angles or angle relationships. In this lesson, we will learn to identify these angle relationships and discuss their measurements.
6. 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.
7. Triangle Congruence Postulates: SAS, ASA & SSS
When we have two triangles, how can we tell if they're congruent? They may look the same, but you can be certain by using one of several triangle congruence postulates, such as SSS, SAS or ASA.
8. The AAS (Angle-Angle-Side) Theorem: Proof and Examples
When trying to find out if triangles are congruent, it's helpful to have as many tools as possible. In this lesson, we'll add to our congruence toolbox by learning about the AAS theorem, or angle-angle-side.
9. What is a Scale Factor? - Definition, Formula & Examples
How does a carpenter know the correct length of a room on a blueprint? How can a graphic designer tell if an enlarged picture will be distorted? Learn what a scale factor is and how you can use it in this article!
10. Solving Real World Problems With Compass Bearings
There are several methods to indicate which way an object is heading by using a compass. In this lesson, we will focus on three figure compass bearings to solve real world problems.
11. Transformations in Math: Definition & Graph
In geometry, transformation refers to the movement of objects in the coordinate plane. This lesson will define and give examples of each of the four common transformations and end with a quiz to make sure you are moving in the right direction.
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