Math in Arts: Get Stronger Answer Key

  1. A low horizon line; it makes the object appear larger and more dominant.
  2. The third vanishing point above the horizon line creates a view looking down on the object, simulating a bird’s-eye view.
  3. The reflected coordinates are [latex](-2,3]), (-4,5), (-6,3)[/latex], and the equation of the line is [latex]y=x+1[/latex]
  4. The Taj Mahal; its reflection symmetry creates a mirror image on either side of the central axis, imparting a sense of balance and harmony.
  5. [latex]60^\circ[/latex] rotation symmetry; it creates patterns that convey movement and dynamism.
  6. Answers will vary.
  7. [latex](-y,x)[/latex]
  8. [latex]36[/latex] repetitions (since [latex]12[/latex] feet = [latex]144[/latex] inches, and [latex]144 \div 4 = 36[/latex]).
  9. Answers will vary.
  10. [latex]9.6[/latex] units
  11. Approximately [latex]8.07[/latex] units (using the golden ratio [latex]\phi \approx 1.618[/latex])
  12. Approximately [latex]18.54[/latex] meters
  13. Yes, the proportions are close to the golden ratio.
  14. The design aligns with the rule of thirds by placing key elements at the one-third and two-thirds marks.