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This quiz consists of 5 multiple choice and 5 short answer questions through Euclid's Proof of the Pythagorean Theorem.

## Multiple Choice Questions

**1. What did Euclid do in his 48th proposition?**
**(a)** Euclid proved the Pythagorean Theorem. **(b)** Euclid proved the converse of the Pythagorean Theorem. **(c)** Euclid demonstrated the faults of the Pythagorean Theorem. **(d)** Euclid demonstrated how to use the Pythagorean Theorem.

**2. What does the Pythagorean Theorem state?**
**(a)** For any triangle the sqaured sum of the legs is equal to half the hypotenuse. **(b)** For any right triangle the square of the diagonal side is equal to the sum of the squares of the two legs. **(c)** For any triangle the sum of the legs squared is equal to the length of the hypotenuse. **(d)** For any right triangle the diagonal side is equal to the sum of the legs.

**3. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?**
**(a)** Circle. **(b)** Intersection. **(c)** 180 degree angle. **(d)** Parallel lines.

**4. What was Hippocrates's great advance to mathematics?**
**(a)** He showed how to square a figure with curved sides. **(b)** He showed how to find the angles in a right triangle. **(c)** He showed how to square a circle. **(d)** He showed how to simplify the area of a triangle.

**5. Which of the following becomes an important definition in mathematics that was first presented in Elements?**
**(a)** Parallel line. **(b)** 180 degree angle. **(c)** Circle. **(d)** Intersection.

## Short Answer Questions

**1.** What did the Pythagorean Theorem accomplish for mathematics?

**2.** How many definitions were stated in Elements?

**3.** What was Hippocrates famous for?

**4.** What provided most of the content in the book Elements?

**5.** After Hippocrates, what shape did the Greeks attempt to square without success?

This section contains 306 words(approx. 2 pages at 300 words per page) |