About This Chapter
TACHS: Symmetry, Similarity and Congruence - Chapter Summary
Working through this chapter could solidify your child's understanding of the symmetry, similarity and congruence of geometric shapes. Presented in an online format, its informational video lessons review steps to recognize and construct different kinds of lines and shapes. Coplanar lines, opposite reciprocals and lines of symmetry are some of the terms your eighth-grade student can review while preparing for the TACHS examination. This chapter could contribute to his or her ability to:
- Locate the line of symmetry in shapes
- Know when shapes are congruent or similar
- Recognize transverse, parallel and perpendicular lines in geometric shapes and real-life objects
- Draw perpendicular lines with a compass
- Identify perpendicular lines within squares, rectangles and other shapes
All of the online lessons are related, and they can increase your student's knowledge of symmetry, similarity and congruence. Real-life instructors deliver the lessons, and experts can provide answers to submitted questions. As your student gets ready for the TACHS examination, he or she can pause the videos in order to take notes or use the video tags to find pertinent information. Quizzes are included in each lesson, and they usually consist of about five questions. These short tests can also be taken more than once. When the answers are correct, students can print out the results for easy referral later.
TACHS: Symmetry, Similarity and Congruence Chapter Objectives
The TACHS examination will not only test your child's knowledge of mathematics topics such as symmetry, similarity and congruence, but it will also assess their reasoning, language and reading abilities. Register your student in one of three ways. Internet registration with a credit card is the preferred method. However, you can register by calling or mailing an application along with your cashier's check or money order.
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
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.
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 a 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.
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Other chapters within the Test for Admission into Catholic High Schools (TACHS): Practice & Study Guide course
- TACHS: Vocabulary Practice
- TACHS: Reading Comprehension
- TACHS: Reading Interpretation & Analysis
- TACHS: Technical & Informational Text
- TACHS: Literary Text
- TACHS: Poetry
- TACHS: Language & Spelling
- TACHS: Sentence Structure & Word Usage
- TACHS: Expressing Ideas in Writing
- TACHS: Number Sense & Operations
- TACHS: Basic Arithmetic Operations
- TACHS: Integers
- TACHS: Irrational & Rational Numbers
- TACHS: Inequality Practice
- TACHS: Estimation in Mathematics
- TACHS: Decimals
- TACHS: Fractions
- TACHS: Percent
- TACHS: Ratios & Proportion
- TACHS: Basic Algebraic Expressions
- TACHS: Algebraic Distribution
- TACHS: Square Roots
- TACHS: Exponents & Exponential Expressions
- TACHS: Scientific Notation
- TACHS: Standard Measurement
- TACHS: Introduction to Geometry
- TACHS: Geometric Measurement
- TACHS: Properties of Lines
- TACHS: The Coordinate Graph
- TACHS: Transformations in Math
- TACHS: Triangles
- TACHS: Triangle Theorems & Proofs
- TACHS: The Pythagorean Theorem
- TACHS: Graphical Representations of Data
- TACHS: Statistics & Data Analysis
- TACHS: Probability & Permutations
- TACHS: Properties of Functions
- TACHS: Graphing Functions
- TACHS: Factoring
- TACHS: Simplifying & Solving Rational Expressions
- TACHS: Linear Equations
- TACHS: Systems of Linear Equations
- TACHS: Mathematical Patterns
- TACHS: Mathematical Reasoning
- TACHS: Reasoning Abilities
- TACHS Flashcards