Dilation Matrix Concepts for Grade 8 Exercise

Dilation Matrix Concepts for Grade 8

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Dilation Matrix Concepts for Grade 8

Learn basic matrix concepts used to represent and calculate dilations on the coordinate plane. Apply scalar multiplication to coordinate matrices.

Questions

  1. MultiChoice

    When applying a scale factor k to point (x, y) centered at origin, what operation is performed?

  2. MultiChoice

    Apply rule (x, y) -> (2x, 2y) to point P(2, 7). What is P'?

  3. MultiChoice

    What scale factor corresponds to coordinate rule (x, y) -> (0.5x, 0.5y)?

  4. MultiChoice

    If a coordinate rule is (x, y) -> (2x, 3y), why is it NOT a uniform dilation?

  5. MultiChoice

    Apply coordinate rule (x, y) -> (3x, 3y) to point Q(-4, 6). Find Q'.

  6. MultiChoice

    Which coordinate notation correctly represents a dilation by scale factor 1.5 about origin?

  7. MultiChoice

    Point R(3, -9) is transformed by (x, y) -> (1/3 x, 1/3 y). Find R'.

  8. MultiChoice

    If vertex (5, -2) maps to (20, -8) under origin dilation, what is rule parameter k?

  9. MultiChoice

    Under transformation (x, y) -> (kx, ky), which point is invariant (does not move)?

  10. MultiChoice

    Apply rule (x, y) -> (7x, 7y) to point S(5, -3). What is S'?

  11. MultiChoice

    What rule reverses a dilation represented by (x, y) -> (5x, 5y)?

  12. MultiChoice

    Dilation rule is (x, y) -> (k x, k y). If k = 1/3 and image is (1, 1.33), what was pre-image rounded to whole numbers?