Practice Geometrical Interpretation of Linear Transformations - 28.8 | 28. Linear Transformations | Mathematics (Civil Engineering -1)
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a linear transformation. Provide an example.

💡 Hint: Think of transformations used in CAD programs.

Question 2

Easy

What does scaling do to a vector?

💡 Hint: Consider enlarging or reducing the size of objects.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is an example of a linear transformation?

  • Reflection
  • Shading
  • None of the above

💡 Hint: Remember types of transformations we discussed.

Question 2

True or False: Scaling can change a vector’s direction.

  • True
  • False

💡 Hint: Think about what happens during resizing.

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Challenge Problems

Push your limits with challenges.

Question 1

You have a square with vertices at (1,1), (1,-1), (-1,-1), and (-1,1). If you apply a scaling transformation with a factor of 2, what are the new vertices?

💡 Hint: Multiply each vertex coordinate by the scaling factor.

Question 2

Describe how reflection over the x-axis changes a triangle with vertices at (0,3), (2,1), and (1,2). What are the new coordinates?

💡 Hint: Focus on how the y-values change during reflection.

Challenge and get performance evaluation