About This Chapter
Symmetry, Similarity and Congruence - Chapter Summary and Learning Objectives
Symmetry, similarity and congruence all speak to ways geometric shapes are alike, yet the terms are mathematical with specific definitions and characteristics. The lessons in this chapter present instructional material on each by slicing up the subject matter into short videos. You can then take a short self-assessment quiz to verify your understanding of the material. In addition, you can ask the instructor questions if you want. When you are finished with the lessons in this chapter, you should know:
- The concept of symmetry in math
- Similarity in geometric shapes
- Congruence in geometric shapes
|What is Symmetry in Math? - Definition & Concept||Summarize what symmetry is and the three types of symmetry.|
|Similarity in Geometric Shapes||Identify the similarity in geometric shapes.|
|Similarity Transformations in Corresponding Figures||Examine similarity transformations to compare two figures.|
|Congruence in Geometric Shapes||Recall how to show if shapes are congruent.|
1. What is Symmetry in Math? - Definition & Concept
Symmetry occurs in many areas of mathematics. This lesson explains symmetry in math and explores the three basic types of symmetry: rotational symmetry, reflection symmetry, and point symmetry.
2. Similarity in Geometric Shapes
View this lesson to learn how you can determine whether shapes are similar. Find out how to use the one rule that tells you when your two shapes are geometrically similar.
3. Similarity Transformations in Corresponding Figures
Watch this video lesson to learn how you can tell if two figures are similar by using similarity transformations. Learn how to find the corresponding sides and angles and then how to compare them.
4. Congruence in Geometric Shapes
Watch this video lesson to learn how you can determine whether two shapes are congruent or not. You will learn what the one criterion is when determining congruency between two shapes.
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Other chapters within the High School Geometry: Tutoring Solution course
- Foundations of Geometry: Tutoring Solution
- Logic in Mathematics: Tutoring Solution
- Introduction to Geometric Figures: Tutoring Solution
- Properties of Triangles: Tutoring Solution
- Triangles, Theorems and Proofs: Tutoring Solution
- Parallel Lines and Polygons: Tutoring Solution
- Similar Polygons: Tutoring Solution
- Quadrilaterals: Tutoring Solution
- Circular Arcs and Circles: Tutoring Solution
- Conic Sections: Tutoring Solution
- Geometric Solids: Tutoring Solution
- Analytical Geometry: Tutoring Solution
- Introduction to Trigonometry: Tutoring Solution