Practice Overview of Importance - 7 | Transformations | Computer Aided Design & Analysis
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Overview of Importance

7 - Overview of Importance

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the matrix representation of a point in 2D?

💡 Hint: Remember how we express coordinates in two dimensions.

Question 2 Easy

Define translation in the context of 2D transformations.

💡 Hint: Think about moving a shape along the graph.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the correct matrix form for a 2D translation?

A) [ 1 0 tx; 0 1 ty; 0 0 1 ]
B) [ 0 0 0; 0 0 1; 0 0 1 ]
C) [ 1 1 0; 0 1 1; 0 0 1 ]

💡 Hint: Look for the necessary components to move points horizontally and vertically.

Question 2

True or False: The order of concatenation in transformations does not matter.

True
False

💡 Hint: Think about performing two transformations one after the other.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A triangle has vertices at points (1, 1), (5, 1), and (3, 4). How would you perform a scaling operation that doubles the size of the triangle?

💡 Hint: Think about how scaling affects both x and y coordinates.

Challenge 2 Hard

If you were to rotate a point (4, 5) by 90 degrees counter-clockwise about the origin, what would be its new coordinates?

💡 Hint: Revisit the rotation transformation matrix and focus on the trigonometric values for 90 degrees.

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Reference links

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