Question

Help with proofs?

Answer 1

Given: ∆BCA is a right triangle.
Prove: a2 + b2 = c2

Answer 2

Which is NOT a justification for the proof?

Substitution

Addition Property of Equality

Transitive Property of Equality

Distributive Property of Equality

Answer 3

Any ideas?

Answer 4

Sorry, got those mixed up:

a = sqrt(c*x)
b = sqrt(c*y)

Answer 5

0.0

Answer 6

lets test each option

Answer 7

Okay

Answer 8

Substitution :
the proof is using substitution in 7th row. So reject.

Answer 9

k, I see that

Answer 10

Addition property of equality :
6th row we using it. So reject this also.

Answer 11

distributive prop. is used also, in the 8th row

Answer 12

Distributive property of equality :
8th row. reject it.

Answer 13

brilliant !

Answer 14

so is it the transitive prop.?

Answer 15

idk y I even asked tht..its the only one left -.-

Answer 16

Yes ! it was not used anywhere in this proof.

Answer 17

lol

Answer 18

lol :)

Answer 19

can yu help me with another?

Answer 20

nd thanx @DDCamp (:

Answer 21

yea sure

Answer 22

Given:
Square with side c.
All four interior triangles are right triangles.
All four interior triangles are congruent.
The interior quadrilateral is a square.

Prove:
a2 + b2 = c2

Answer 23

k thts the whole question

Answer 24

it has to start wid (4), you knw the reason why

Answer 25

lets figure out wat may follow next

Answer 26

because it is talking about all four of them?

Answer 27

okay

Answer 28

look at the options, all options have starting step as (4) . common sense :P

Answer 29

oh:) ... well I wasn't looking at the options! :P

Answer 30

would it be c ?

Answer 31

good, that just means you're really focusing on how to prove :)

Answer 32

Yes ! it is C

Answer 33

yayyy!

Answer 34

I have 2 more :)

Answer 35

@ganeshie8

Answer 36

it is obvious that, in 5th row we have to prove that triangles are similar

Answer 37

5. \(\triangle BDE \sim \triangle BAC\) 5. By AA similarity

Answer 38

5th row has to be that cuz, in the next row we are taking proportions of similar triangles

Answer 39

in know, but idk what to write

Answer 40

* I know

Answer 41

4. \(\angle BDE \cong \angle BAC\) 4. By Corresponding Angles postulate

Answer 42

I gave u direct answers.

Answer 43

sorry my computer was loading slow so I didn't know you had written anything aftr you said it is obvious...

Answer 44

what is AA similarity mean?

Answer 45

@ganeshie8

Answer 46

AA similarity means, Angle Angle similarity. It says, if two sets of Angle pairs are congruent in two triangles, then the two triangles are similar.