# Ch 42: MTTC Mathematics (Elementary): Symmetry & Parallel Lines

### About This Chapter

## MTTC Mathematics (Elementary): Symmetry & Parallel Lines - Chapter Summary

Prepare for the MTTC Mathematics (Elementary) exam by brushing up on your math skills. Using the lessons in this chapter, review what you know about parallel lines and symmetry in geometry. After completing all of the lessons, you will have enhanced your understanding of the following terms and processes:

- Proving lines are parallel
- Using converse statements
- Constructing parallel lines
- Parallel postulate and indirect proof
- Parallel sides
- Symmetric properties

The lessons in this chapter on parallel lines and symmetry have been designed to cover information you are likely to come across on the MTTC Mathematics (Elementary) exam. Short videos aid in illustrating the material. Transcripts are included as a text-based resource. You can take a self-assessment quiz at the end of each lesson to apply what you've learned and practice for the exam.

### 1. Parallel Lines: How to Prove Lines Are Parallel

Watch this video lesson to learn how you can prove that two lines are parallel just by matching up pairs of angles. Learn which angles to pair up and what to look for.

### 2. Using Converse Statements to Prove Lines Are Parallel

Because a pair of parallel lines produces unique angle characteristics, we can use this information to our advantage. Watch this video lesson to see how we turn this advantage into converse statements to help us prove parallel lines.

### 3. Constructing a Parallel Line Using a Point Not on the Given Line

Watch this video lesson, and you will learn how to draw parallel lines with just a compass and a straightedge. Also, learn why you would want to be able to do this in real life.

### 4. The Parallel Postulate: Definition & Examples

In this lesson, you will learn about an important postulate in Euclidean geometry, called the Parallel Postulate. It sounds kind of hard, but this lesson explains it in simple terms and provides several examples of it as well.

### 5. Parallel Sides: Definition & Concept

In this lesson, you will learn the special properties of parallel sides. Only certain shapes have the distinguished honor of having parallel sides. Learn what these are and discover how to mathematically mark two sides that are parallel.

### 6. Symmetric Property in Geometry: Definition & Examples

The symmetric property shows up often in the world around us, so it is useful to be familiar with this property. This lesson will allow us to become comfortable with, see examples of, and work with this neat property.

### 7. Symmetric Property: Definition & Examples

In this lesson, you will learn the definition of the symmetric property of equality and why this property is so important in mathematics. You will also be given examples to illustrate.

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### Other Chapters

Other chapters within the MTTC Mathematics (Elementary) (089): Practice & Study Guide course

- MTTC Mathematics (Elementary): Mathematical Reasoning
- MTTC Mathematics (Elementary): Problem-Solving Strategies
- MTTC Mathematics (Elementary): Proportions & Ratios
- MTTC Mathematics (Elementary): Principles of Fractions
- MTTC Mathematics (Elementary): Operations with Fractions
- MTTC Mathematics (Elementary): Introduction to Decimals
- MTTC Mathematics (Elementary): Operations with Decimals
- MTTC Mathematics (Elementary): Percents
- MTTC Mathematics (Elementary): Whole Numbers & Number Terms
- MTTC Mathematics (Elementary): Real Numbers
- MTTC Mathematics (Elementary): Properties of Numbers
- MTTC Mathematics (Elementary): Integers
- MTTC Mathematics (Elementary): Rational Numbers
- MTTC Mathematics (Elementary): Mathematical Operations
- MTTC Mathematics (Elementary): Factoring & Divisibility
- MTTC Mathematics (Elementary): Prime Factorization
- MTTC Mathematics (Elementary): Roots
- MTTC Mathematics (Elementary): Exponents
- MTTC Mathematics (Elementary): Exponential Expressions & Scientific Notation
- MTTC Mathematics (Elementary): Absolute Value
- MTTC Mathematics (Elementary): Sequences & Series
- MTTC Mathematics (Elementary): Patterns & Functions
- MTTC Mathematics (Elementary): Understanding Algebraic Expressions
- MTTC Mathematics (Elementary): Solving Algebraic Expressions
- MTTC Mathematics (Elementary): Linear Equations
- MTTC Mathematics (Elementary): Graphing Linear Equations
- MTTC Mathematics (Elementary): Properties of Polynomial Functions
- MTTC Mathematics (Elementary): Properties of Quadratic Functions
- MTTC Mathematics (Elementary): Properties of Rational Functions
- MTTC Mathematics (Elementary): Exponential & Logarithmic Functions
- MTTC Mathematics (Elementary): Trigonometric Functions
- MTTC Mathematics (Elementary): Calculus Concepts
- MTTC Mathematics (Elementary): Principles of Measurement
- MTTC Mathematics (Elementary): Lines in Geometry
- MTTC Mathematics (Elementary): Geometric Figures
- MTTC Mathematics (Elementary): Triangles
- MTTC Mathematics (Elementary): Triangle Proofs & Theorems
- MTTC Mathematics (Elementary): Quadrilaterals
- MTTC Mathematics (Elementary): Polygons
- MTTC Mathematics (Elementary): Circles & Circular Arcs
- MTTC Mathematics (Elementary): Principles of Geometric Solids
- MTTC Mathematics (Elementary): Transformations in Geometry
- MTTC Mathematics (Elementary): Coordinate Geometry
- MTTC Mathematics (Elementary): Organizing Data
- MTTC Mathematics (Elementary): Summarizing Data
- MTTC Mathematics (Elementary): Sampling & Prediction
- MTTC Mathematics (Elementary): Regression & Correlation
- MTTC Mathematics (Elementary): Probability
- MTTC Mathematics (Elementary): Probability Distributions
- MTTC Mathematics (Elementary): Discrete Mathematics
- MTTC Mathematics (Elementary) Flashcards