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U9L2 Reflections Notes: Exploring Vertical and Horizontal Lines

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U9L2 Reflections Notes: Exploring Vertical and Horizontal Lines
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Bianca Stratford

@biancastratford

·

543 Followers

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A comprehensive guide to reflecting in vertical and horizontal lines covering key concepts, rules, and practical examples of geometric transformations.

• The guide explains horizontal reflection and vertical reflection through detailed examples and coordinates
• Covers reflections over x-axis, y-axis, and other lines including y=x and y=-x
• Includes practical exercises with various geometric shapes like triangles, rectangles, and parallelograms
• Features methods for identifying the line of reflection and working with coordinates

2/4/2023

220

<h2 id="rules">Rules</h2> <p>When reflecting a point over the x-axis, the new coordinates of the point (x₁,y) become (x₁,-y). On the other

View

Page 2: Advanced Reflection Lines

This page expands on reflection concepts by introducing reflections over vertical lines other than the y-axis and horizontal lines other than the x-axis, as well as diagonal reflections.

Vocabulary: The line y=x is a diagonal line that serves as a line of reflection, creating a unique type of transformation.

Example: For reflection over y=x, the rule (x,y) = (y,x) is applied, swapping x and y coordinates.

The page includes six detailed examples:

  • Triangle JKL reflection over x=4
  • Square RSTU reflection over x=-1
  • Parallelogram CDEF reflection over y=2
  • Triangle MNP reflection over y=-5
  • Triangle XYZ reflection over y=x
  • Rectangle GHIJ reflection over y=x
<h2 id="rules">Rules</h2> <p>When reflecting a point over the x-axis, the new coordinates of the point (x₁,y) become (x₁,-y). On the other

View

Page 3: Line of Reflection Identification

This page focuses on identifying lines of reflection and working with the line y=-x as a reflection line. It emphasizes practical problem-solving techniques.

Highlight: Finding the midpoint between corresponding points can help identify the line of reflection.

Example: For reflection over y=-x, the rule (x,y) = (-y,-x) is applied.

The page includes:

  • Square ABCD reflection over y=-x
  • Triangle STU reflection over y=-x
  • Six exercises for identifying various lines of reflection including y-axis, x-axis, y=x, and specific vertical and horizontal lines

Definition: The line of reflection is the line that acts as a mirror, creating a symmetrical image of the original shape.

<h2 id="rules">Rules</h2> <p>When reflecting a point over the x-axis, the new coordinates of the point (x₁,y) become (x₁,-y). On the other

View

Page 1: Basic Reflection Concepts and Rules

This page introduces fundamental concepts of reflection in mathematics, focusing on the x-axis and y-axis reflections. The content includes essential rules and multiple examples of reflecting different shapes.

Definition: A reflection is a flip over a line called the line of reflection, where each point and its image are equidistant from the reflection line.

Highlight: Reflection is classified as a rigid motion, preserving the shape and size of the original figure.

Example: When reflecting over the x-axis, the rule (x₁,y) = (x₁,-y) is applied, while for y-axis reflection, the rule is (x₁,y) = (-x₁,y).

The page demonstrates practical applications through four main examples:

  • Triangle ABC reflection over x-axis
  • Rectangle PORS reflection over y-axis
  • Trapezoid FGHI reflection over y-axis
  • Rhombus WXYZ reflection over x-axis

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Subjects

/

Geometry

/

Tranformations & translations

/

Symmetry

U9L2 Reflections Notes: Exploring Vertical and Horizontal Lines

user profile picture

Bianca Stratford

@biancastratford

·

543 Followers

Follow

A comprehensive guide to reflecting in vertical and horizontal lines covering key concepts, rules, and practical examples of geometric transformations.

• The guide explains horizontal reflection and vertical reflection through detailed examples and coordinates
• Covers reflections over x-axis, y-axis, and other lines including y=x and y=-x
• Includes practical exercises with various geometric shapes like triangles, rectangles, and parallelograms
• Features methods for identifying the line of reflection and working with coordinates

2/4/2023

220

 

Geometry

10

<h2 id="rules">Rules</h2> <p>When reflecting a point over the x-axis, the new coordinates of the point (x₁,y) become (x₁,-y). On the other

Page 2: Advanced Reflection Lines

This page expands on reflection concepts by introducing reflections over vertical lines other than the y-axis and horizontal lines other than the x-axis, as well as diagonal reflections.

Vocabulary: The line y=x is a diagonal line that serves as a line of reflection, creating a unique type of transformation.

Example: For reflection over y=x, the rule (x,y) = (y,x) is applied, swapping x and y coordinates.

The page includes six detailed examples:

  • Triangle JKL reflection over x=4
  • Square RSTU reflection over x=-1
  • Parallelogram CDEF reflection over y=2
  • Triangle MNP reflection over y=-5
  • Triangle XYZ reflection over y=x
  • Rectangle GHIJ reflection over y=x
<h2 id="rules">Rules</h2> <p>When reflecting a point over the x-axis, the new coordinates of the point (x₁,y) become (x₁,-y). On the other

Page 3: Line of Reflection Identification

This page focuses on identifying lines of reflection and working with the line y=-x as a reflection line. It emphasizes practical problem-solving techniques.

Highlight: Finding the midpoint between corresponding points can help identify the line of reflection.

Example: For reflection over y=-x, the rule (x,y) = (-y,-x) is applied.

The page includes:

  • Square ABCD reflection over y=-x
  • Triangle STU reflection over y=-x
  • Six exercises for identifying various lines of reflection including y-axis, x-axis, y=x, and specific vertical and horizontal lines

Definition: The line of reflection is the line that acts as a mirror, creating a symmetrical image of the original shape.

<h2 id="rules">Rules</h2> <p>When reflecting a point over the x-axis, the new coordinates of the point (x₁,y) become (x₁,-y). On the other

Page 1: Basic Reflection Concepts and Rules

This page introduces fundamental concepts of reflection in mathematics, focusing on the x-axis and y-axis reflections. The content includes essential rules and multiple examples of reflecting different shapes.

Definition: A reflection is a flip over a line called the line of reflection, where each point and its image are equidistant from the reflection line.

Highlight: Reflection is classified as a rigid motion, preserving the shape and size of the original figure.

Example: When reflecting over the x-axis, the rule (x₁,y) = (x₁,-y) is applied, while for y-axis reflection, the rule is (x₁,y) = (-x₁,y).

The page demonstrates practical applications through four main examples:

  • Triangle ABC reflection over x-axis
  • Rectangle PORS reflection over y-axis
  • Trapezoid FGHI reflection over y-axis
  • Rhombus WXYZ reflection over x-axis

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Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying