{"id":4934,"date":"2023-06-23T03:39:50","date_gmt":"2023-06-23T03:39:50","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/?post_type=chapter&p=4934"},"modified":"2024-10-18T20:56:14","modified_gmt":"2024-10-18T20:56:14","slug":"math-in-arts-get-stronger","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/chapter\/math-in-arts-get-stronger\/","title":{"raw":"Math in Arts: Get Stronger","rendered":"Math in Arts: Get Stronger"},"content":{"raw":"
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  1. If you want to make an object appear towering and imposing in a drawing, where would you position the horizon line? Explain how this positioning affects the perception of the object.<\/li>\r\n\t
  2. Given a building drawn in three-point perspective with two vanishing points on the horizon line and one above the horizon, explain how this perspective creates a bird's-eye view. Provide calculations if necessary.<\/li>\r\n\t
  3. Given a shape with coordinates [latex](2,3), (4,5),\\text{ and } (6,3)[\/latex], find the equation of the line that reflects the shape over the y-axis.<\/li>\r\n\t
  4. Identify a famous building that features reflection symmetry and explain how this symmetry imparts a sense of balance and harmony. Provide mathematical details if applicable.<\/li>\r\n\t
  5. Given a six-pointed star, calculate the degrees of rotation symmetry and explain how this symmetry conveys movement and dynamism.<\/li>\r\n\t
  6. Provide an example of rotation symmetry in nature and calculate the degrees of rotation symmetry.<\/li>\r\n\t
  7. Determine the coordinates of a point [latex](x,y)[\/latex] after a [latex]90^\\circ[\/latex] rotation counterclockwise about the origin<\/li>\r\n\t
  8. Given a wallpaper pattern that repeats every [latex]4[\/latex] inches, calculate how many repetitions there will be on a wall that is [latex]12[\/latex] feet long.<\/li>\r\n\t
  9. Design a pattern that uses translation symmetry and explain how the pattern is repeated in a straight line. Provide mathematical details if applicable.<\/li>\r\n\t
  10. In a design, the length of one side is [latex]5[\/latex] units, and the corresponding side in a similar design is [latex]8[\/latex] units. If another side in the first design is [latex]6[\/latex] units, what is the corresponding length in the similar design?<\/li>\r\n\t
  11. If the shorter side of a golden rectangle is [latex]5[\/latex] units, what is the length of the longer side?<\/li>\r\n\t
  12. If the width of a building facade is [latex]30[\/latex] meters, calculate the height that would make the facade's proportions adhere to the golden ratio.<\/li>\r\n\t
  13. Given a painting with dimensions [latex]24 \\times 15[\/latex] inches, determine if the proportions adhere to the golden ratio.<\/li>\r\n\t
  14. If a building's facade is divided into three equal parts, with windows in the first and third sections, evaluate how this design principle aligns with the rule of thirds.<\/li>\r\n<\/ol>","rendered":"
      \n
    1. If you want to make an object appear towering and imposing in a drawing, where would you position the horizon line? Explain how this positioning affects the perception of the object.<\/li>\n
    2. Given a building drawn in three-point perspective with two vanishing points on the horizon line and one above the horizon, explain how this perspective creates a bird’s-eye view. Provide calculations if necessary.<\/li>\n
    3. Given a shape with coordinates [latex](2,3), (4,5),\\text{ and } (6,3)[\/latex], find the equation of the line that reflects the shape over the y-axis.<\/li>\n
    4. Identify a famous building that features reflection symmetry and explain how this symmetry imparts a sense of balance and harmony. Provide mathematical details if applicable.<\/li>\n
    5. Given a six-pointed star, calculate the degrees of rotation symmetry and explain how this symmetry conveys movement and dynamism.<\/li>\n
    6. Provide an example of rotation symmetry in nature and calculate the degrees of rotation symmetry.<\/li>\n
    7. Determine the coordinates of a point [latex](x,y)[\/latex] after a [latex]90^\\circ[\/latex] rotation counterclockwise about the origin<\/li>\n
    8. Given a wallpaper pattern that repeats every [latex]4[\/latex] inches, calculate how many repetitions there will be on a wall that is [latex]12[\/latex] feet long.<\/li>\n
    9. Design a pattern that uses translation symmetry and explain how the pattern is repeated in a straight line. Provide mathematical details if applicable.<\/li>\n
    10. In a design, the length of one side is [latex]5[\/latex] units, and the corresponding side in a similar design is [latex]8[\/latex] units. If another side in the first design is [latex]6[\/latex] units, what is the corresponding length in the similar design?<\/li>\n
    11. If the shorter side of a golden rectangle is [latex]5[\/latex] units, what is the length of the longer side?<\/li>\n
    12. If the width of a building facade is [latex]30[\/latex] meters, calculate the height that would make the facade’s proportions adhere to the golden ratio.<\/li>\n
    13. Given a painting with dimensions [latex]24 \\times 15[\/latex] inches, determine if the proportions adhere to the golden ratio.<\/li>\n
    14. If a building’s facade is divided into three equal parts, with windows in the first and third sections, evaluate how this design principle aligns with the rule of thirds.<\/li>\n<\/ol>\n","protected":false},"author":23,"menu_order":15,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":91,"module-header":"practice","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4934"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/users\/23"}],"version-history":[{"count":7,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4934\/revisions"}],"predecessor-version":[{"id":13682,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4934\/revisions\/13682"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/parts\/91"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4934\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/media?parent=4934"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapter-type?post=4934"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/contributor?post=4934"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/license?post=4934"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}