GeOmEtRy HoMeWoRk..................?

Question

(This is one page in a big packet)

I need to dissect a Hexagon into; 2 parts, 3 parts, 6 parts, 8 parts, 9 parts, 12 parts, 18 parts, 24 parts, and 27 parts. (Obviously the parts need to be congruent)

I have dissected it into 2 parts, 3 parts, 6 parts, 12 parts, 18 parts, and 24 parts. So I need help with dissecting it into 8 parts, 9 parts, and 27 parts.

A link would be GREAT, but a small explanation will also work. THANKS!

Answer 1

For the 9 parts, can you take the 18 parts and pair them up (two side by side) to make 9 parts that are congruent?

Or first make 27 parts and then group in 3's to make 9:
27 parts:
If to make 3 parts, you divided the hexagon to look like a
2D drawing of a 3D cube with top and two sides showing and two sides hidden, then divide each of the 3 diamond shapes into a "tic tac toe" board so it has 9 equal diamond shaped pieces. So 3 x 9 = 27. This makes it look like a drawing of Rubik's cube,
with nine squares per side, or "diamonds".

Then if you take three diamonds in a row (which look like three squares on a Rubik's cube in a row) you will have 9 pieces that are congruent.
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For the 8 parts, first divide into 6 equilateral triangles
Then cut each of those into 4 equilateral triangles
(like a pyramid with one triangle in the middle upside down,
one triangle at the top and two at the bottom corners). 6 x 4 = 24 triangles. Then group the 24 smaller triangles together in 3's to make 8.

This will look like 6 trapezoids around the edge of the
hexagon, and one smaller hexagon in the middle divided
into 2 trapezoids to make 8 parts that are congruent.

Answer 2

right it truly is yet otherwise to unravel the mission. make better a side and kind an outdoors attitude. then you save in recommendations the sum of the exterior angles is continually 360 levels. Now divide with information from 5 because there are 5 aspects which delivers you with seventy 2. Now the interior attitude is supplementary to the exterior attitude, so one hundred eighty - seventy 2 = 108 levels. note: This procedure will purely paintings for prevalent polygons.