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Lesson

Reflecting Shapes and Graphs

When reflecting across the line y = x, the coordinates of a point swap places: (x, y) becomes (y, x). Reflection across the line y = −x results in swapping and negating the coordinates: (x, y) becomes (−y, −x). These special reflections are essential in understanding symmetry between quadrants.

45min lesson

Objectives3 goals Lesson11 blocks Review11 assets Practice32 items

Learning objectives

What to understand

3 goals

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Understand reflecting shapes and graphs in the Reflection chapter.
Connect the idea with formulas, examples, and exam-style questions.
Use flashcards, notes, MCQs, and LAQs to check readiness.

Lesson

Step-by-step lesson

11 sections

Example

Coordinate Mapping After Reflections

Point C(2, -3) is reflected across the y-axis and then across the x-axis. What are its final coordinates? 1. Reflect in y-axis: (2, -3) → (-2, -3). 2. Then reflect in x-axis: (-2, -3) → (-2, 3). Final answer: (-2, 3) Exam tip: Apply each reflection step-by-step to avoid confusion. Common mistake: Students may apply both reflections simultaneously and get incorrect coordinates.

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11 lesson sections8 cards / 3 notes18 MCQs / 14 written questions

Lesson Notes Flashcards Revision MCQs Written answers Topic test

Notes

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3 notes

Review the compact notes before moving into recall.

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1
Reflection in the Line y = x and y = −x
2
Reflecting Points and Simple Shapes
3
Reflection of Graphs and Functions

Practice

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32 prompts

18 MCQs14 LAQsMixed test

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In this chapter

Reflection

Topic 6 of 7

Now on Reflecting Shapes and Graphs. Next up: Multiple Reflections and Applications.

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Reflection in y = x and y = -x
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Multiple Reflections and Applications
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Reflecting Shapes and Graphs

What to understand

Step-by-step lesson

Coordinate Mapping After Reflections

Determine reflection rule for point C(2,-1) and its image D(-1,2).

Mapping Coordinates After Multiple Reflections

Reflection in the Line y = x and y = −x

Reflecting Points and Simple Shapes

Reflection of Graphs and Functions

The reflection of a point in the x-axis

The reflection of a point in the y-axis

The reflection of a point in the origin

Reflecting across y = -x

Reflection preserves distance

Coordinate Mapping After Reflections

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Note highlights

Reflection in the Line y = x and y = −x

Reflecting Points and Simple Shapes

Reflection of Graphs and Functions

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Reflection

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Around this topic

Reflecting Shapes and Graphs

What to understand

Step-by-step lesson

Coordinate Mapping After Reflections

Determine reflection rule for point C(2,-1) and its image D(-1,2).

Mapping Coordinates After Multiple Reflections

Reflection in the Line y = x and y = −x

Reflecting Points and Simple Shapes

Reflection of Graphs and Functions

The reflection of a point in the x-axis

The reflection of a point in the y-axis

The reflection of a point in the origin

Reflecting across y = -x

Reflection preserves distance

Coordinate Mapping After Reflections

Choose your next activity

Note highlights

Reflection in the Line y = x and y = −x

Reflecting Points and Simple Shapes

Reflection of Graphs and Functions

Check this topic

Reflection

Mark this topic complete

Around this topic