Question

In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving SM RN, given RM SN and MRS NSR. Submit the entire proof to your instructor.

Given:

RM SN

MRS NSR

Prove:

SM RN



STATEMENT REASON
1. 1.
2. 2. Reflexive Property
3. 3.
4. 4.
https://paysonusd.owschools.com/media/g_geo_ccss_2016/4/page36c.gif

Answer 1

@Shadow

Answer 2

Hmm, I don't remember the properties for this problem but your profile picture is so adorable

Answer 3

Hmm

Answer 4

Do you know the gist of two column proofs? You basically make a statement then back it up with some geometric property.

Answer 5

I know the gist of it I just have a hard time figuring it out

Answer 6

Okay so I don't see the symbols in your question, they're just blank, but I'm guessing they're asking to prove that SM = RN and the givens are that: RM = SN and MRS = NSR.

DId they also give you the reflexive property or was that a guess / deduction on your part?

Answer 7

they only gave me the proof for that one and not the statement

Answer 8

I also know that in two proofs, you can state givens like:

SM = RN | Given
MRS = NSR | Given

Answer 9

Here's some good explanations I found for the reflexive property:

Answer 10

ok thank you

Answer 11

I'm pretty sure they want us to say that RS = RS saying how both of the triangles share the same 'base'

Answer 12

I think they're basically saying all the sides of the triangles are equal to each other. So we can probably put in the given for RM = SN

Answer 13

ok

Answer 14

Since MRS and NSR are being said as being equal, they're talking about the angle. And those angles are looking at the lines MS and RN respectively, so I think the argument there is that if the triangles share the same side, RS, and have the same side NS and MR, then since they share the same angle of degrees, the side that those angles are looking at, must be the same.

Answer 15

^That logic makes sense to me, we just need to find the properties that state that.

Answer 16

So I think so far its

SM = RN | Given
RS = RS | Reflexive Property
<MRS = <NSR | Given
SM = RN | ?

Answer 17

? being the property that says an angle predicts the size of the length it's corresponding to

Answer 18

ok thank you for helping me

Answer 19

I found it, read under angles -> Base Angle Converse

Answer 20

https://www.eastauroraschools.org/cms/lib/NY19000901/Centricity/Domain/285/Geometry%20theorems%20and%20postulates.htm

Answer 21

Lol didn't copy and paste the link

Answer 22

"If two angles of a triangle are congruent, the sides opposite these angles are congruent."