# Ch 42: 6th-8th Grade Geometry: Symmetry, Similarity & Congruence

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### About This Chapter

## 6th-8th Grade Geometry: Symmetry, Similarity and Congruence - Chapter Summary

Use the video lessons in the Symmetry, Similarity and Congruence chapter to ensure that your 6th - 8th grade students know how to identify different types of lines, construct transverse lines or find the line of symmetry of a parabola. Your students can practice constructing geometric shapes with the help of a straight edge, a compass and a pencil. Test their understanding by administering the chapter examination.

## Chapter Lessons and Objectives

Lesson | Objective |
---|---|

What is a Line of Symmetry in Geometric Shapes? | This lesson teaches students to identify the line of symmetry in geometric shapes such as squares, triangles and rectangles. |

Congruence in Geometric Shapes | Teachers explain the meaning of congruence, and students learn to determine if various geometric shapes are congruent. |

Similarity in Geometric Shapes | Students are taught to recognize the similarity of different shapes. |

Parallel, Perpendicular and Transverse Lines | Teachers explain the differences between perpendicular, transverse and parallel lines. |

Identifying Parallel Lines in Geometric Shapes | In this lesson, students are taught to recognize parallel lines in shapes that include rectangles and parallelograms. |

Constructing Perpendicular Lines in Geometry | This lesson focuses on the drawing of perpendicular lines through the use of a pencil, a straight edge and a compass. |

Identifying Perpendicular Lines in Geometric Shapes | Students learn to identify perpendicular lines in squares, triangles, rectangles, trapezoids and other geometric shapes. |

### 1. 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.

### 2. 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.

### 3. Similarity in Geometric Shapes

Watch this video lesson to learn how you can determine whether two shapes are similar. Learn how to use the one rule that tells you when your two shapes are similar.

### 4. Parallel, Perpendicular and Transverse Lines

What are the different types of lines? Where are they visible in the real world and how can you recognize them? Find out here and test your knowledge with a quiz.

### 5. Identifying Parallel Lines in Geometric Shapes

Watch this video lesson to learn how you can spot parallel lines in a rectangle, in a square, and in a parallelogram. You will learn how many pairs of parallel lines each of these shapes has.

### 6. Constructing Perpendicular Lines in Geometry

In this video lesson, you will see how to use geometric construction to draw perpendicular lines. Learn why geometric construction is useful. Also find out the only two tools in addition to your pencil that you need to do this.

### 7. Identifying Perpendicular Lines in Geometric Shapes

Do you know what perpendicular line is? Do you know how to spot one in a geometric shape? This lesson will tell you how to spot perpendicular lines in squares, rectangles, triangles, and trapezoids.

### 8. 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.

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### Other Chapters

Other chapters within the 6th-8th Grade Math: Practice & Review course

- 6th-8th Grade Math: Basic Arithmetic Operations
- 6th-8th Grade Math: Divisibility
- 6th-8th Grade Math: Properties of Numbers
- 6th-8th Grade Math: Number Theory
- 6th-8th Grade Math: Factoring
- 6th-8th Grade Math: Estimating & Rounding
- 6th-8th Grade Math: Whole Numbers
- 6th-8th Grade Math: Simplifying Whole Number Expressions
- 6th-8th Grade Math: Negative Numbers
- 6th-8th Grade Math: Absolute Value
- 6th-8th Grade Math: Integers
- 6th-8th Grade Math: Rational Numbers
- 6th-8th Grade Math: Inequalities
- 6th-8th Grade Math: Introduction to Decimals
- 6th-8th Grade Math: Operations with Decimals
- 6th-8th Grade Math: Introduction to Fractions
- 6th-8th Grade Math: Operations with Fractions
- 6th-8th Grade Math: Percents
- 6th-8th Grade Math: Exponents & Exponential Expressions
- 6th-8th Grade Math: Roots & Radical Expressions
- 6th-8th Grade Algebra: Writing Algebraic Expressions
- 6th-8th Grade Algebra: Basic Algebraic Expressions
- 6th-8th Grade Algebra: Algebraic Distribution
- 6th-8th Grade Algebra: Writing & Solving One-Step Equations
- 6th-8th Grade Algebra: Writing & Solving Two-Step Equations
- 6th-8th Grade Algebra: Simplifying & Solving Rational Expressions
- 6th-8th Grade Math: The Coordinate Graph
- 6th-8th Grade Algebra: Linear Equations
- 6th-8th Grade Algebra: Systems of Linear Equations
- 6th-8th Grade Math: Properties of Functions
- 6th-8th Grade Math: Graphing Functions
- 6th-8th Grade Math: Solving Math Word Problems
- 6th-8th Grade Measurement: Perimeter & Area
- 6th-8th Grade Geometry: Introduction to Geometric Figures
- 6th-8th Grade Geometry: Angles
- 6th-8th Grade Measurement: Units of Measurement
- 6th-8th Grade Geometry: Triangles
- 6th-8th Grade Geometry: Quadrilaterals
- 6th-8th Grade Geometry: Circles
- 6th-8th Grade Geometry: Circular Arcs & Measurement
- 6th-8th Grade Geometry: Polyhedrons & Geometric Solids
- 6th-8th Grade Geometry: Transformations
- 6th-8th Grade Geometry: Triangle Theorems & Proofs
- 6th-8th Grade Geometry: Similar Polygons
- 6th-8th Grade Geometry: The Pythagorean Theorem
- 6th-8th Grade Math: Data & Graphs
- 6th-8th Grade Math: Probability
- 6th-8th Grade Math: Statistics
- 6th-8th Grade Math: Rates, Ratios & Proportions
- 6th-8th Grade Math: Money
- 6th-8th Grade Math: Consumer Math
- 6th-8th Grade Math: Number Sequences
- 6th-8th Grade Math: Sets
- 6th-8th Grade Algebra: Monomials & Polynomials