Pythagorean Spiral Quiz

What materials are required to create the Pythagorean spiral?

• Standard construction paper, pencil, protractor, ruler, and lined paper

• Graph paper, compass, eraser, and colored pencils

• Notebook, pen, calculator, and scissors

• Cardboard, glue, paint, and brushes

Where should you place the center dot on the construction paper?

• 11.5 cm from the top and 15 cm from the right

• 15 cm from the top and 11.5 cm from the right

• 11.5 cm from the top and 15 cm from the left

• 15 cm from the top and 11.5 cm from the left

How long should the first line segment be?

• 3 cm

• 4 cm

• 5 cm

• 2 cm

What angle is used to create the right triangle?

• 45°

• 60°

• 90°

• 120°

What is the next step after drawing the first triangle?

• Erase the entire triangle

• Rotate the triangle and use the hypotenuse as the base for the next triangle

• Color the triangle

• Draw a circle around the triangle

How do you handle overlaps when the spiral starts to overlap previous triangles?

• Erase the previous triangles

• Stop drawing the spiral

• Draw over the previous triangles

• Stop the line when reaching previous triangles

What is the formula to calculate the hypotenuse of the first triangle?

• a^2 + b^2 = c

• a^2 + b^2 = c^2

• a + b = c

• a^2 - b^2 = c^2

What is the base of the second triangle in the spiral?

• The first line segment

• The hypotenuse of the first triangle

• The 90° angle

• The center dot

What should you do after calculating the hypotenuse of each triangle?

• Color the triangles

• Draw a new spiral

• Erase the calculations

• Compare it with the actual measurement on the spiral

How many triangles should you create to complete the spiral?

• 35

• 25

• 40

• 30