Learn on PengiReveal Math, Course 1Module 4: Integers, Rational Numbers, and the Coordinate Plane

4-6 Graph Reflections of Points

In this Grade 6 lesson from Reveal Math, Course 1, students learn how to graph reflections of points across the x-axis and y-axis on a coordinate plane. Students discover that reflecting a point across the x-axis keeps the x-coordinate the same while reversing the sign of the y-coordinate, and reflecting across the y-axis keeps the y-coordinate the same while reversing the sign of the x-coordinate. The lesson also covers prime notation for reflected points and how to identify the axis of reflection by comparing coordinate pairs.

Section 1

Defining Reflection and Line of Reflection

Property

A reflection is a transformation that "flips" a point across a specific line to create a mirror image.

  • Line of Reflection: The line that acts as the mirror.
  • A point and its reflection are the exact same distance from the line of reflection, but on opposite sides.

Section 2

Using Prime Notation for Reflected Points

Property

When a point is reflected, the new point (the image) is labeled using the same letter as the original point (the pre-image) followed by a prime symbol (').

Original Point \rightarrow Reflected Point

AAA \rightarrow A'

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Module 4: Integers, Rational Numbers, and the Coordinate Plane

  1. Lesson 1

    4-1 Represent Integers

  2. Lesson 2

    4-2 Opposites and Absolute Value

  3. Lesson 3

    4-3 Compare and Order Integers

  4. Lesson 4

    4-4 Rational Numbers

  5. Lesson 5

    4-5 The Coordinate Plane

  6. Lesson 6Current

    4-6 Graph Reflections of Points

  7. Lesson 7

    4-7 Absolute Value and Distance

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Defining Reflection and Line of Reflection

Property

A reflection is a transformation that "flips" a point across a specific line to create a mirror image.

  • Line of Reflection: The line that acts as the mirror.
  • A point and its reflection are the exact same distance from the line of reflection, but on opposite sides.

Section 2

Using Prime Notation for Reflected Points

Property

When a point is reflected, the new point (the image) is labeled using the same letter as the original point (the pre-image) followed by a prime symbol (').

Original Point \rightarrow Reflected Point

AAA \rightarrow A'

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Module 4: Integers, Rational Numbers, and the Coordinate Plane

  1. Lesson 1

    4-1 Represent Integers

  2. Lesson 2

    4-2 Opposites and Absolute Value

  3. Lesson 3

    4-3 Compare and Order Integers

  4. Lesson 4

    4-4 Rational Numbers

  5. Lesson 5

    4-5 The Coordinate Plane

  6. Lesson 6Current

    4-6 Graph Reflections of Points

  7. Lesson 7

    4-7 Absolute Value and Distance