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What age groupYear or Grade 8
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Grade 8 Mathematics Quiz: Translations

Instructions

Answer the following questions regarding translations in mathematics. Each question is designed to test your understanding of the concept. Remember to provide a clear and concise answer.

  1. Define translation in geometric terms.

  2. Given a triangle with vertices A(2, 3), B(5, 1), and C(3, 4), describe how you would translate the triangle 4 units to the right and 2 units up.

  3. A rectangle is located at points D(1, 1), E(1, 4), F(4, 1), and G(4, 4). If the rectangle is translated 3 units left and 5 units down, what are the new coordinates of point D?

  4. Explain the relationship between translation and symmetry in shapes.

  5. If triangle X with coordinates (0, 0), (1, 1), and (0, 2) is translated by the vector (3, -2), what will be the coordinates of the new triangle?

  6. Describe a scenario in real life where a translation could be applied.

  7. How does a translation affect the shape and size of a geometric figure?

  8. A square with vertices at (0, 0), (0, 2), (2, 0), and (2, 2) is translated using the vector (2, 3). What are the new coordinates of vertex (0, 0)?

  9. Can you identify a figure that remains unchanged after a translation? Explain your reasoning.

  10. Provide an example of how two objects may be similar in shape but differ in position due to translation.