Question

Proving the Pythagorean Theorem. Use the diagram of angle ABC. Copy and complete the proof of the Pythagorean Theorem.

Answer 1

Given: triangle ABC, angle BCA is a right angle.
Prove: c^2 =a^2+b^2

Answer 2

Statements

1. Draw triangle ABC. <BCA is a right angle.
2. Draw a perpendicular from C to AB.
3. c = a and c=b
- - - -
a e b f
4. ce= a^2 and cf =b^2

Answer 3

5. ce+b^2 = __?__ + b^2
6. ce + cf = a^2 + b^2
7. c(e+f) = a^2 + b^2
8. e+f = __?__
9. c * c= a^2 +b^2
10. c^2 = a^2 +b^2

Answer 4

Reasons:

1. __?__
2. Perpendicular Postulate
3. __?__
4. __?__
5. Addition Property of Equality
6. __?__
7.__?__
8. Segment Addition Postulate
9. __?__
10. Simplify

Answer 5

I have no idea what the answer is, but you have just shown me that geometry next year is going to be even worse than algebra 2 this year.

Answer 6

Nice worksheet/exercise. Who's going to finish it?

Answer 7

well hopefully I am... once I figure out how to.

Answer 8

Easy stuff

Answer 9

mhm.....

Answer 10

And you're agreeing with me because you know how to do it, right?

Answer 11

no.... i got 1...which was given.... but Im not sure... :/

Answer 12

on the rest..

Answer 13

1. Draw triangle ABC. <BCA is a right angle. (Given)
2. Draw a perpendicular from C to AB. (Perp Postulate)
3.c/a = a/e, c/b = b/f (Proportion Property)
4. ce= a^2 and cf =b^2 (Multiplication Property)
5. ce+b^2 = a^2 + b^2 (Addition Property Equality)
6. ce + cf = a^2 + b^2 (Substitution Property)
7. c(e+f) = a^2 + b^2 (Distributive Property)
8. e+f = c (Segment Addition Postulate)
9. c * c= a^2 +b^2 (Substitution Property)
10. c^2 = a^2 +b^2 (Simplify)

Answer 14

Thank you for helping me @Hero <3

Answer 15

yw