PYTHAGORAS
Please send your completed work to [email protected]. No attachments will be opened. The subject line should read "Magical Numbers- HW3 - HOL Name" and you should include your HOL name and house in the body of the email.
There are more than 60 points worth of options below. You can pick which ones you would like to do, but you cannot earn more than 60 points.
If you include any images in your assignment, please upload them to a site such as Postimage and send me the link.
There are more than 60 points worth of options below. You can pick which ones you would like to do, but you cannot earn more than 60 points.
If you include any images in your assignment, please upload them to a site such as Postimage and send me the link.
True or False (10 points) - If False, please correct the sentence
1. Pythagoras believed that everything is numbers.
2. The angles in a triangle are called X, Y & Z.
3. A triangle that contains a 90° angle is called a square triangle.
4. Ten raised to the power of two, equals a hundred.
5. When writing coordinates, the x comes before the y.
Short Answers (10 points) - Answer in full sentences
1. What is a tetractys?
2. What are the sides in a triangle called?
3. What does Pythagoras' Theorem state (remember to include the requirements)?
4. What is a Pythagorean Triple?
5. How can you use Pythagoras Theorem to calculate the distance between two points?
Opinion - Everything is Numbers (10 points) - Minimum 100 words
Do you agree that all things are numbers? Why why not?
Opinion - Numbers have personalities (10-20 points) - 1 point pr. 10 words for the first 200 words
Do you agree that numbers have personalities or special meanings apart from their raw numerical value? What are these personalities or meanings in your opinion?
Writing Coordinates (10 points)
Write the coordinates for these five points
1. Pythagoras believed that everything is numbers.
2. The angles in a triangle are called X, Y & Z.
3. A triangle that contains a 90° angle is called a square triangle.
4. Ten raised to the power of two, equals a hundred.
5. When writing coordinates, the x comes before the y.
Short Answers (10 points) - Answer in full sentences
1. What is a tetractys?
2. What are the sides in a triangle called?
3. What does Pythagoras' Theorem state (remember to include the requirements)?
4. What is a Pythagorean Triple?
5. How can you use Pythagoras Theorem to calculate the distance between two points?
Opinion - Everything is Numbers (10 points) - Minimum 100 words
Do you agree that all things are numbers? Why why not?
Opinion - Numbers have personalities (10-20 points) - 1 point pr. 10 words for the first 200 words
Do you agree that numbers have personalities or special meanings apart from their raw numerical value? What are these personalities or meanings in your opinion?
Writing Coordinates (10 points)
Write the coordinates for these five points
Entering Coordinates (10 points)
Enter these coordinates into a coordinate system
1. (11,5)
2. (4,6)
3. (-1,8)
4. (2,9)
5. (8,-2)
Find the Distance (10 points)
Find the distances between these two sets of coordinates
Show your work. If you need to draw them in then send a picture and your calculation of the distance, otherwise show the whole calculation.
1. Between: (1,3) & (7,6)
2. Between: (8,9) & (-6,5)
Enter these coordinates into a coordinate system
1. (11,5)
2. (4,6)
3. (-1,8)
4. (2,9)
5. (8,-2)
Find the Distance (10 points)
Find the distances between these two sets of coordinates
Show your work. If you need to draw them in then send a picture and your calculation of the distance, otherwise show the whole calculation.
1. Between: (1,3) & (7,6)
2. Between: (8,9) & (-6,5)
Find the Sides (10 points)
How long are the two remaining sides? Show your work.
Note that the drawings are quite distorted and only there as illustration.
How long are the two remaining sides? Show your work.
Note that the drawings are quite distorted and only there as illustration.
The Hypotenuse (10 points)
Find the hypotenuse in the right triangles where the remaining two sides are:
1. 10 cm & 19 cm
2. 11 m & 12 m
3. 1,3 m & 90 cm
4. 5 cm & 17 cm
5. 12 cm & 35 cm
Interior Angles (10 points)
Calculate the sum of the interior angles of these three polygons. Show your work.
Find the hypotenuse in the right triangles where the remaining two sides are:
1. 10 cm & 19 cm
2. 11 m & 12 m
3. 1,3 m & 90 cm
4. 5 cm & 17 cm
5. 12 cm & 35 cm
Interior Angles (10 points)
Calculate the sum of the interior angles of these three polygons. Show your work.