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Quiz about Geometry Circus
Quiz about Geometry Circus

Geometry Circus Trivia Quiz


Welcome to the show! Ten polygons will make their performances. Have fun and enjoy!

A multiple-choice quiz by Matthew_07. Estimated time: 5 mins.
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Author
Matthew_07
Time
5 mins
Type
Multiple Choice
Quiz #
290,322
Updated
Jul 23 22
# Qns
10
Difficulty
Average
Avg Score
7 / 10
Plays
2011
Awards
Top 20% Quiz
- -
Question 1 of 10
1. The first performer is Caleb the Circle! He comes out on the stage. He performs a very entertaining puppet show. All audiences are clapping enthusiastically. He bows to the audiences and says that of all the shapes with the same perimeter, a circle is the one that has the largest area. Is he telling the truth?


Question 2 of 10
2. The second performer of the night is Tiffany the Triangle. Specifically, she is a right triangle. After performing a magic trick by pulling out three bunnies from her hat, she covers herself under a piece of cloth. In a split second, another three triangles show up on the stage. She introduces her friends. They are Tony the obtuse triangle, Thelma the equilateral triangle and Tyler the acute triangle. Which of the four triangles has an internal angle that is greater than 90 degrees? Hint


Question 3 of 10
3. Steven the Square makes his appearance next. The audience is certainly having a fun time watching him performing his juggling act. Before leaving the stage, he tells the audience that thanks to a mathematician, we all know that the diagonals of a square is 1.414... (surd 2 or square root of 2) times longer than its side. Therefore, this value is also named after the great mathematician. Who is he? Hint


Question 4 of 10
4. Now, it is Pamela the Pentagon up on the stage. Standing next to her is her companion dog, Peter! She leaves the audience speechless by showing them how intelligent Peter is in counting. Before ending her show, she posts one question to the audience. What is the value of an internal angle of a regular pentagon? Hint


Question 5 of 10
5. Heidi the Hexagon is performing next. She leaves the audiences in a sea of laughter with her funny acts. This clown has certainly gained the audience's heart and they want to know her better. We all know that she has six edges, but do you know how many vertices she has? Hint


Question 6 of 10
6. Howard the Heptagon is swallowing his swords on the stage! And he has done it! Now that you have watched an amazing performance, would you mind answering a question from Howard? An alternative name for heptagon is ___. Hint


Question 7 of 10
7. Oprah the Octagon is up next. You hold your breath as the tightrope walker performs her act. She ends her show with a smile and asks, can a regular octagon be constructed by just using a compass and a straightedge? (and a pencil, of course)


Question 8 of 10
8. Nathan is up on the stage. He is performing the human cannonball! He ends his performance with a bow. He is a nine-sided polygon. What is a nine-sided polygon called?

Answer: (One Word)
Question 9 of 10
9. Deborah the Decagon is playing with her hula hoops gracefully on the stage. Do you know what is the sum of all the interior angles of a decagon? Hint


Question 10 of 10
10. Our final performer of the night is Dominic the Dodecagon. He is breathing fire on the stage. What a dangerous act! How many sides does a dodecagon have? Hint



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Most Recent Scores
Mar 23 2024 : knethen222: 10/10
Mar 07 2024 : jonnowales: 10/10

Score Distribution

quiz
Quiz Answer Key and Fun Facts
1. The first performer is Caleb the Circle! He comes out on the stage. He performs a very entertaining puppet show. All audiences are clapping enthusiastically. He bows to the audiences and says that of all the shapes with the same perimeter, a circle is the one that has the largest area. Is he telling the truth?

Answer: Yes

This statement can be proved by doing some calculations by using the concepts of calculus.
2. The second performer of the night is Tiffany the Triangle. Specifically, she is a right triangle. After performing a magic trick by pulling out three bunnies from her hat, she covers herself under a piece of cloth. In a split second, another three triangles show up on the stage. She introduces her friends. They are Tony the obtuse triangle, Thelma the equilateral triangle and Tyler the acute triangle. Which of the four triangles has an internal angle that is greater than 90 degrees?

Answer: The obtuse triangle

As the name suggests, an obtuse triangle has an obtuse angle (an angle greater than 90 degree, but smaller than 180 degree). A right triangle has a 90 degree angle. Meanwhile, all of the three internal angles of an equilateral triangle are 60 degree. An isosceles triangle has two equal angles. An acute triangle's three internal angles are all acute.
3. Steven the Square makes his appearance next. The audience is certainly having a fun time watching him performing his juggling act. Before leaving the stage, he tells the audience that thanks to a mathematician, we all know that the diagonals of a square is 1.414... (surd 2 or square root of 2) times longer than its side. Therefore, this value is also named after the great mathematician. Who is he?

Answer: Pythagoras

The square root of 2 is an irrational number, meaning that its value cannot be expressed in a fraction. Pythagoras was the first man to prove this. Nowadays, the statement can be proved by using a simple method called contradiction.
4. Now, it is Pamela the Pentagon up on the stage. Standing next to her is her companion dog, Peter! She leaves the audience speechless by showing them how intelligent Peter is in counting. Before ending her show, she posts one question to the audience. What is the value of an internal angle of a regular pentagon?

Answer: 108 degrees

The internal angles of a regular pentagon sum up to 540 degrees.
5. Heidi the Hexagon is performing next. She leaves the audiences in a sea of laughter with her funny acts. This clown has certainly gained the audience's heart and they want to know her better. We all know that she has six edges, but do you know how many vertices she has?

Answer: 6

In geometry, a vertex is a corner point. A hexagon has six vertices.
6. Howard the Heptagon is swallowing his swords on the stage! And he has done it! Now that you have watched an amazing performance, would you mind answering a question from Howard? An alternative name for heptagon is ___.

Answer: Septagon

While "hepta-" is a Greek prefix, "septua-" is a Latin prefix.
7. Oprah the Octagon is up next. You hold your breath as the tightrope walker performs her act. She ends her show with a smile and asks, can a regular octagon be constructed by just using a compass and a straightedge? (and a pencil, of course)

Answer: Yes

The goal is to find a way to construct an angle of 135 degrees, which is the value of all the interior angles of a regular octagon.
8. Nathan is up on the stage. He is performing the human cannonball! He ends his performance with a bow. He is a nine-sided polygon. What is a nine-sided polygon called?

Answer: Nonagon

He is Nathan the Nonagon.

"Nona-" should never be confused with "nano-". "Nano-" is a prefix in the SI system, which represents 10^-9.

Another name fora nonagon is enneagon. "Nona" is a Latin prefix while "ennea-" is a Greek prefix.
9. Deborah the Decagon is playing with her hula hoops gracefully on the stage. Do you know what is the sum of all the interior angles of a decagon?

Answer: 1440

The formula to calculate the sum of all the interior angles of a polygon is (n-2) x 180, where n is the number of sides or edges of the polygon. So, in this case, n = 10.
10. Our final performer of the night is Dominic the Dodecagon. He is breathing fire on the stage. What a dangerous act! How many sides does a dodecagon have?

Answer: 12

A polygon with 11 sides is called a hendecagon. Tridecagon and tetradecagon are the names for the polygon with 13 and 14 sides respectively.

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Thank you for staying with us and watching the show. I hope you enjoyed yourself watching the show. Thanks for playing and have a nice day!
Source: Author Matthew_07

This quiz was reviewed by FunTrivia editor crisw before going online.
Any errors found in FunTrivia content are routinely corrected through our feedback system.
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