Practice Summary Table: 2D and 3D Transformation Matrices - 5 | Transformations | Computer Aided Design & Analysis
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Summary Table: 2D and 3D Transformation Matrices

5 - Summary Table: 2D and 3D Transformation Matrices

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a 2D transformation matrix for translation.

💡 Hint: Consider how you would move a point by tx and ty.

Question 2 Easy

What does a scaling transformation do?

💡 Hint: Think about how enlarging or shrinking an object affects its coordinates.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the main purpose of transformation matrices?

To change color
To alter position
size
and orientation of shapes
To divide shapes

💡 Hint: Think about what transformations do to shapes.

Question 2

True or False: The order of matrix multiplication does not affect the final transformation result.

True
False

💡 Hint: Reflect on how different operations may occur based on order.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You have a point (2, 5). First, apply a scaling transformation with a factor of 2, then a translation of (3, -2). What is the resulting point?

💡 Hint: Do the scaling first, then add the translation values to the scaled coordinates.

Challenge 2 Hard

If a point is rotated 90 degrees around the origin, what will the new coordinates be for the point (3, 4)?

💡 Hint: Refer to the 90-degree rotation matrix and apply it to the original point.

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