Practice 2d Transformations (2) - Transformations - Computer Aided Design & Analysis

Practice: 2D Transformations

Lesson 2Transformations

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9 questions

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6 sample questions

Question 1.
What is the result of translating point (1, 3) by (2, 2)?
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Add the translation values to the original coordinates.
Question 2.
If you scale a square of size 2 units by a factor of 3, what will be its new size?
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Multiply the original size by the scaling factor.
3Question 3.
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]
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Look for how translations are represented in matrix form.
4Question 4.
True or False: Reflection across the x-axis changes the sign of the y-coordinate.
- True
- False
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Consider how a mirror reflection works.
Question 5.
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?
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Break down the transformations one at a time and apply each step carefully.
Question 6.
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?
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Apply the rotation matrix and remember how each point is affected.

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