HELP QUICK PLEASE. TWO COLUMN PROOF

G

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These are the problems that I need some help on please can some body help me. I hope that the pictures are clear enough. It was the better I could do. I have to write a two column proof for the 3 of them.
Code: 
                                                       N
                  1st one                          /l\
                                                    /  l  \
                                                  /    l    \
                                                /      l      \
                                              /        l        \
                                            /        /Q\        \
                                          /       /         \      \
                                        /     /                 \   \ 
                                      /   /                        \  \ 
                                    /____________________\
                                  M                                     P
__
1. GIVEN: triangle MQP and triangle MNP are isosceles with base MP
PROVE: Triangle MQN is congruent to Triangle PQN

statements reasons
1. MQP and MNP are isosceles __ 1. GIVEN
with base MP

I NEED TO KNOW THE FOLLOWING STATEMENTS AND THE FOLLOWING REASONS TO ALL OF THEM.

Code: 
              2nd one                  C
                                          / l \
                                        / 1l 2\
                                      /     l    \
                                    /       l      \ 
                                  /         l        \
                                /           l          \ 
                              /          3  l 4         \
                            /_________l________\
                          A                 X              B
___ __
2. GIVEN: AC is congruent to BC, Angle 1 is congruent to Angle 2
PROVE: Triangle ACX is congruent to Triangle BCX


statements reasons


SAME THING AS IN PROBLEM ONE. I NEED THE STATEMENTS AND THE REASONS PLEASE. I ALREADY KNOW WHAT IS THE FISRT ONE.
Code: 
                                                          P
          3rd one                                    /l\                                                       
                                                       /  l  \    
                                                     /    l    \     
                                                   /      l      \   
                                                 /        l        \
                                               /          l          \            
                                             /            l            \
                                           /              l              \
                                      S  /               l                \ Q
                                           \              l               /
                                              \           l            /
                                                \         l         /
                                                   \      l      / 
                                                      \   l    /
                                                        \ l /
                                                          R
__
3. GIVEN: PR bisects both angle SPQ and angle QRS
PROVE: Triangle PQR is congruent to Triangle PSR



statements reasons





IF YOU CAN HELP ME PLEASE, THANX.
 
its me The one that did the pictures they didn't came out as i want them to. I thought this time you coul of help me but it seems that every thing i did was for nothing thaks anyways.
 
Hello, bismarck!

Code: 
              N
              *
             /|\
            / | \
           /  |  \
          /   |   \
         /    *    \
        /   * Q *   \
       / *         * \
      *---------------*
      M               P
1. Given: Triangle MQP and triangle MNP are isosceles with base MP
. . Prove: Triangle MQN is congruent to Triangle PQN

Statements . . . . . . . . . . . . Reasons

1. MQ = QP . . . . . . . . 1. Given. (Triangle MQP is isosceles.)

2. MN = NP. . . . . . . . . 2. Given. (Triangle MNP is isosceles.)

3. NQ = NQ. . . . . . . . . 3. Identity postulate

4. ∆ MQN ≈ ∆ PQN . . . 4. s.s.s.
 
Thanks soroban
I appreciate your help a lot. I would like to know if you can help me with the other two.




Please, Thanks a lot again.
 
Hello Bismarck,

Soroban has shown you how to do one of your problems. Follow his logic as an example. To help yourself get started, first write down all the different conjectures/theorems that are used to prove two triangles are congruent: ASA, SAS, SSS, SAA (or AAS). Look at the "givens" in a problem and see which pieces of information they've already provided you with. Figure out what else you'd need to show in order to use one of the congruency theorems. It's that simple. Don't make it too complicated. Give it a try. Hint: Since they already used SSS in problem one, they'll probably use other theorems for the other problem proofs.
 
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