Question

Which is not a justification for the proof?

A. Pieces of Right Triangles Similarity Theorem
B. Side-Side-Side Similarity Theorem
C. Substitution
D. Addition Property of Equality

Answer 1

Given: ΔABC is a right triangle.
Prove: a2 + b2 = c2
The two-column proof with missing justifications proves the Pythagorean Theorem using similar triangles:




Statement

Justification

Draw an altitude from point C to Line segment AB
Let segment BC = a
segment CA = b
segment AB = c
segment CD = h
segment DB = x
segment AD = y
y + x = c
c over a equals a over y and c over b equals b over x
a2 = cy; b2 = cx
a2 + b2 = cy + b2
a2 + b2 = cy + cx
a2 + b2 = c(y + x)
a2 + b2 = c(c)
a2 + b2 = c2

Answer 2

ignore the jerk. And let me read this proof.

Answer 3

What do you think it is hun ?

Answer 4

SSS theorem would be used to prove s triangles are congruent, are we proving that here @Moo_Moo17 ?

Answer 5

sorry guys I had to reload my internet, its running slow but @liteLegacy i do believe SSS theorem is being used in the trangle

Answer 6

It okay ^^. and I agree, so we know that is not the answer. let's look at the other answer choices.

Answer 7

A. Pieces of Right Triangles Similarity Theorem, what do you think of this answer choice ?

Answer 8

@Moo_Moo17

Answer 9

it looks like it would be a good answer knowing that the triangle looks likes its a right angle triangle

Answer 10

That is true but the answer is not right because we "NEVER" use "PIECES" of a theorem, we use the whole theorem or we don't use it at all. :P

Answer 11

ohhh ok that makes more since now

Answer 12

Awesome ^^.

Answer 13

^-^ ok so with tht one crossed out would it be B since i think the triangle is SSS

Answer 14

@LiteLegacy

Answer 15

isn't which NOT justification for proof?.

Answer 16

yea

Answer 17

Well were no done let's look at answer D. :P

Answer 18

ok (: D looks like it would be good what do u think

Answer 19

@LiteLegacy

Answer 20

Nah if you look at the two column proof Addition Property of Equality work is done .

Answer 21

oh i see what mean so is it C then since D was already solved

Answer 22

C was done in the problem too because B2=cx cx is enter in the place of b2

Answer 23

oh lol ok so um.. with it be B then ?

Answer 24

nah A . since we would need sss to prove congruence and stuff :P

Answer 25

oh ok thank you so much (: do u mind help ing me with a few more??

Answer 26

Np and sure ^^

Answer 27

thank you ^w^ here ill post it another question