Question

Use the spider tool located on page 1 of this activity to draw a 12-pointed star for the new logo. (Hint:If the spider rotates 360 degrees -- or 720 degrees or 1080 degrees -- she will be facing in the same direction in which she started. When the spider is done drawing, you want her to be facing in the same direction in which she started. She'll be making 12 rotations, all the same size, so each rotation must be some multiple of 360/12 = 30 degrees.)
Please help urgently. Been stuck on this problem for around 45 minutes now. Thanks.






PLEASE HELPPPPP! IT SHOULD BE EASY IF YOU'RE SMART ENOUGH

Answer 1

Answer:

  each of the 12 turns is 150°

Step-by-step explanation:

If we number the points of the star 1–12, in order for the star to be symmetrical, each point must connect to two points symmetrically located around the centerline.

That is, point 1 may connect to points {2, 12} or {3, 11} or {4, 10}, or {5, 9} or {6, 8} or {7, 7}. For each of these connections, the angle made at the point of the "star" is, respectively, 150°, 120°, 90°, 60°, 30° or 0°. For these angles, the figure obtained will be ...

  150° - dodecagon, a 12-sided figure

  120° - hexagon

  90° - square

  60° - equilateral triangle

  30° - 12-pointed star

  0° - straight line

The two 12-pointed figures are shown in the attachment.

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We suspect the star you're interested in is the one with points that are 30°. In order to have that point angle, the spider must make a turn of 180° -30° = 150°.

The spider will make 12 turns of 150°, for a total of 1800°, for a total of 5 full turns of 360°.