Infinitely fun geometry JEOPARDY

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Infinitely fun geometryJEOPARDY!
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ROUND 1
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True or False?

• No infinite set can be larger than the set of all
  real numbers.

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Who first proved that R is larger than N?
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What technique was used to prove that R is larger
than N?
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Give a 6 digit number not in my list
??6???1??????????4
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Let S be the set of all infinite words created
from the letters M,A,T, H. Given a pairing
such as1 --- MATHMATHMATH2 ---
TMMAHTHMAMT3 --- AAAAAAAAAAAA..Explain how
to construct a missing element of S.
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A right triangle has legs of length 2 and 3.
What is the length of the hypotenuse?
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A right triangle has one leg of length 5 and a
hypotenuse of length 8. What is the length of
the other leg?
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State the Pythagorean Theorem.
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The base of a rectangle has a length of 10 inches
and a diagonal has a length of 12 inches. Find
the area of the rectangle.
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In the Old West, settlers often fashioned tents
out of a piece of cloth thrown over tent poles
and then secured to the ground with stakes
forming an isosceles triangle. How long would
the cloth have to be so that the opening of the
tent was 4 meters high and 3 meters wide?
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Identify the rigid symmetries that preserve the
pattern????????????
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Which tilings have symmetry of scale?(ignore
colors)
A.
B.
D.
C.
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DOUBLE JEOPARDY!!!
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Which tilings have reflection symmetries?(ignore
colors)
A.
B.
D.
C.
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What is the smallest rotational symmetry for each
tiling, if any? (ignore colors)
A.
B.
D.
C.
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Give 3 lowercase letters of the alphabet with
horizontal lines of symmetry.
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Define what it means to be a Platonic solid.
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Why is this not a Platonic solid?
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Name the five Platonic solids and the shapes of
their faces.
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The icosahedron has 12 vertices30 edges ?
faces
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Why is there no Platonic solid with hexagonal
faces?
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Final Jeopardy!Topic rigid symmetriesWrite
down your wager and turn it in to me.
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Draw a shape which has rotational symmetries but
no other rigid symmetries.