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Geometry help? (two column proofs etc.) - Note - 01-08-2013

Alright, the questions they gave me were:

9) Given: Line RS is congruent to line TS; V is the midpoint of line RT
Prove:Triangle RSV is congruent to triangle TSV.

Picture of the two triangles:
[Image: cutcB.jpg]


10) Given:Line TR is congruent to line SU; line TU is congruent to line SR.
Prove
; Angle R is congruent to Angle U.

Picture of the rhombus:
i.imgur.com/Kk10e.jpg

Any help would be awesome :3

RE: Geometry help? (two column proofs etc.) - Dr.Cooper - 01-09-2013

Question No 9's Solution(There are two ways but I will do SSS Axiom):-
Quote:Facts:- ........................................... Reasons:-
In Triangle SVR and SVT
a. RS = ST (S)[a.Given]
b. VS=VS (S) [a. Given, or being common side]
c. RV = VT (S) [a. As V is the midpoint]
d. Triangle RSV is congruent to triangle TSV [d. From facts a,b and c being SSS Axiom]
Proved.

____________________________________________________________
Question No 10's Solution:-
Quote:Facts:- ........................................... Reasons:-

In Triangle TRS and TUS:-
a.TR = US (S) [a. Given]
b. RS = TU (S) [b. Given]
c. TS = TS (S) [c. Being common sides]
d. Triangle TRS and TUS are congruent. [d. From facts a,b,c, being SSS Axiom]
e. Angle TRS = Angle TUS [e. From fact d, as corresponding angles of congruent triangles are equal.]
Proved.

If you don't understand anything, please let me know. I will try to make it clearer. There are a lot of ways but I used the suitable according to the level of yours that I assumed.