Practice Translation - 4.1 | Transformations | Computer Aided Design & Analysis
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Translation

4.1 - Translation

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a point in 2D space represented as?

💡 Hint: Think of how we describe locations in a plane.

Question 2 Easy

What is the equation of a line in 2D?

💡 Hint: Recall how we typically express lines mathematically.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does a transformation matrix do?

Only translates shapes
Only scales shapes
Modifies the position
orientation
or size of shapes

💡 Hint: Consider all the types of transformations mentioned.

Question 2

True or False: Homogeneous coordinates require a third dimension for 2D representations.

True
False

💡 Hint: Think about how we represent points in this system.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a triangle with vertices at points A(1, 1), B(2, 3), C(3, 2), apply a translation of T(4, -1). What are the new coordinates of the triangle's vertices?

💡 Hint: Add the translation vector to each vertex point separately.

Challenge 2 Hard

Using a scaling factor of 1.5, derive the coordinates of a square with original corners at (0,0), (1,0), (1,1), and (0,1). What are the coordinates of the transformed square?

💡 Hint: Multiply each coordinate by the scaling factor.

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Reference links

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