Question

Given: In ∆ACB, c2 = a2 + b2.
Prove: ∆ACB is a right angle.

Which pair of reasons correctly completes this proof?

Reason #1 - Reflexive Property of Equality
Reason #2 - SSS Postulate

Reason #1 - Substitution
Reason #2 - SAS Postulate

Reason #1 - Substitution
Reason #2 - SSS Postulate

Reason #1 - Reflexive Property of Equality
Reason #2 - SAS Postulate

Answer 1

help.?

Answer 2

I think its 2 or 4 because it has an angle in it..

Answer 3

so really, the question is Substitution or Reflexive Property of Equality..?

Answer 4

Well, in the step requiring Reason 1, you are substituting a^2 for d^2 and b^2 for e^2. You already demonstrated the equalities of a&d and b&e in the first column using the line segment designations for those sides.

Answer 5

so its substitution..?

Answer 6

Example of the reflexive property: w=w
Example of the substitution property: if g=h, g may be substituted for h in any expression.

Answer 7

Yes. Remember the image that when you look in the mirror you see a REFLEXIon of yourself

Answer 8

still looks like substitution..??

Answer 9

It is

Answer 10

then its not a reflection due to the image...

Answer 11

oh so 2 is right, right?

Answer 12

It's substitution, but you just proved that the third side of the triangles were congruent.

The congruence statement does not involve any angles.

Answer 13

So, which answer do you choose?

Answer 14

3, which means I was originally mistaken.... thanks lol

Answer 15

Good.

Answer 16

mind taking a look at this other one I'm about to post?? its about whats not its Not..

Answer 17

whats its Not..**

Answer 18

sure

Answer 19

Is there a question there?

Answer 20

I posted it...