Practice 2D Transformations - 2 | Transformations | Computer Aided Design & Analysis
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Knowledge

2 - 2D Transformations

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the result of translating point (1, 3) by (2, 2)?

💡 Hint: Add the translation values to the original coordinates.

Question 2

Easy

If you scale a square of size 2 units by a factor of 3, what will be its new size?

💡 Hint: Multiply the original size by the scaling factor.

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 the transformation matrix for translation?

  • [1 0 t; 0 1 t; 0 0 1]
  • [1 0 0; 0 1 0; 0 0 1]
  • [1 0 0; 0 1 0; t 0 1]

💡 Hint: Look for how translations are represented in matrix form.

Question 2

True or False: Reflection across the x-axis changes the sign of the y-coordinate.

  • True
  • False

💡 Hint: Consider how a mirror reflection works.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

If a hexagon has vertices at (1, 1), (2, 2), (3, 1), (2, 0), (1, -1), and (0, 0), what will the vertices be after performing a series of transformations: translate by (1, 2), scale by a factor of 2, and then reflect over the x-axis?

💡 Hint: Break down the transformations one at a time and apply each step carefully.

Question 2

A square with corners at (1, 1), (3, 1), (3, 3), and (1, 3) is rotated 180 degrees around the origin. What will the new coordinates be?

💡 Hint: Apply the rotation matrix and remember how each point is affected.

Challenge and get performance evaluation