About This Chapter
Geometry & Properties of Shapes - Chapter Summary
The video and text lessons in this chapter can help you brush up on concepts associated with geometry and the properties of shapes. Lessons are available any time, day or night, and offer amazing insight into math concepts you want to better understand. After reviewing this chapter, you will be prepared for the following:
- Describing properties and relationships of 2D and 3D objects
- Identifying types of and commonalities between measurements for different objects
- Understanding properties of congruent and similar shapes
- Applying your knowledge of the Pythagorean theorem
- Defining and describing reflections, rotations and translations in math
- Utilizing the formula for a scale factor
- Discussing the properties of triangles, circles, rectangles, squares and rhombuses
- Relating geometric ideas to art, science and everyday life
Enjoy the flexibility of reviewing lessons in the sequence that works best for your learning or study needs. Revisit them as often as needed until you feel confident that you understand geometry and the properties of shapes. When ready, test your understanding of these concepts by taking lesson quizzes and a chapter exam. Any questions you have about lesson topics can be submitted to our experts.
1. 2D & 3D Objects: Properties & Relationships
Read this lesson to learn about the similarities and differences between a two-dimensional object such as a drawing on a sheet of paper and a three-dimensional object such as a basketball.
2. Object Measurement: Types & Relationships
When it comes to measuring objects, there are a few basic measurements that are involved. Learn these basic measurements and how these numbers are related in similar objects.
3. Properties of Congruent and Similar Shapes
In this lesson, we'll look at triangles, rectangles and other shapes that share properties. This includes both congruent and similar shapes. We'll also practice identifying the missing properties of these shapes.
4. 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.
5. Reflections in Math: Definition & Overview
A reflection of an object is a 'flip' of that object across a line. This lesson will describe the basics of reflection, how to recognize one and how to create one.
6. Rotations in Math: Definition & Overview
A geometric rotation refers to the rotating of a figure around a center of rotation. This lesson will get you going on rotations, give you some examples, and end with a quiz that tests your knowledge of rotations.
7. What is Translation in Math? - Definition, Examples, & Terms
In mathematics, translation refers to moving an object without changing it in any other way. This lesson will describe how to translate an object and give some examples. A quiz will follow to test your knowledge.
8. 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!
9. Properties of Shapes: Triangles
Isosceles, equilateral and obtuse, oh my! These are terms for triangles. But, what do they mean? In this lesson, we'll explore the properties of triangles and take a closer look at the different types of triangles you may encounter.
10. Properties of Shapes: Circles
Circles are fundamental to everything we do. But, did you know they're much more than just round shapes? In this lesson, we'll look at the various parts of circles and how they all relate.
11. Properties of Shapes: Rectangles, Squares and Rhombuses
What's the difference between a square and a rectangle? What about a rhombus and a square? In this lesson, we'll look at the properties of these shapes.
12. Geometry Applications: Art, Science & Everyday Life
Geometry is the study of the shapes. In this lesson, we will step outside of the classroom and see the relevance and applications of geometry in art, science and everyday life.
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