Practice Reflection (over principal planes) - 4.4 | Transformations | Computer Aided Design & Analysis
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Reflection (over principal planes)

4.4 - Reflection (over principal planes)

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What happens to the point (3, 4, 6) when reflected over the x-y plane?

💡 Hint: Only the z-coordinate changes.

Question 2 Easy

How would the point (-1, 2, 3) look when reflected across the y-z plane?

💡 Hint: Focus on the x-coordinate.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the result of reflecting the point (5, 3, 2) over the x-y plane?

(5
3
2)
(5
3
-2)
(5
-3
2)

💡 Hint: Pay attention to the z-coordinate!

Question 2

True or False: Reflection over the x-z plane inverts the y-coordinate.

True
False

💡 Hint: Focus on what changes during the transformation.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Derive the transformation matrix for reflection across the x-y plane and explain each component.

💡 Hint: Break down the transformations component-wise.

Challenge 2 Hard

A point A at (3, 5, -2) is reflected over the y-z plane and then by the x-y plane. What are the coordinates of the final position?

💡 Hint: Apply the transformations step by step.

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Reference links

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