I NEED SOME HELP WITH TWO COLUMN PROOFS

G

Guest

Guest
Hi everybody!
Well now I have these kinds of problems about the two column proofs. What I need this time is for you people to check them to see if I did the right steps or if I am missing something. Please help me as much as you can. Thanks in ADVANCE.

HERE ARE THE PROBLEMS!
Code:
                   C
         #1        *
                   /  \
                /        \
             /              \
          /                    \
       /  1                   2 \
 A /___________________.______________\ B
    \                                /         
       \   3                 4   /
          \                    /
             \              /
                \        /
                   \  /
                     *
                     D

1. Given:      ACBD is a square 

Prove:    Triangle ACB is congruent to triangle ADB 

THESE ARE THE ANSWERS THAT I CAME OUT WITH BUT I DON'T KNOW IF THEY ARE RIGHT OR IN THE RIGHT ORDER OR IF I MISSING SOME STEPS.
      Statements                             Reasons 

1. ACBD is a square                         1. Given 

2. < C and < D are right angles.        2. Definition of a square. 

3. < 2 is congruent to < 3 &              3. Alt. Interior <‘s are congruent 
    < 1 is congruent to < 4 

4. AB is congruent to AB                   4. Congruence of congruent segments 

5. Triangle ACB is congruent             5. ASA 
    To triangle ADB. 
____________________________________________________________________

#2                 C
                      *
                   *  l  *
                *  1  l   2 *
             *        l        *
          *           l           *
       *____________3_l_4___________*
      A               X              B



2. Given: Angle 3 and Angle 4 are right angles, AX is congruent to BX 

Prove: Triangle AXC is congruent to Triangle BXC 

   Statements                        Reasons 

1. < 3 and < 4 are rights <‘s            1. Given 
   AX is congruent to BX 

2. < 3 is congruent to < 4                2. Right Angles 

3. CX is congruent to CX                 3. Reflexive property

4. Triangle AXC is congruent            4. ASA 
    To triangle BXC 
____________________________________________________________________

#3   D                                   C
     _________________________________________
     l 5                            2   *    l
     l                             *     3   l
     l                      *                l
     l               *                       l 
     l 4    *                                l
     l_*_1_________________________________6_l
     A                                       B

3.    Given:  AD is perpendicular to DC, CB is perpendicular to AB, AD is parallel to BC. 

      Prove: Triangle ABC is congruent to Traingle CDA 


       Statements                                       Reasons 

    1. AD is perpendicular to DC,          1. Given 
     CB is perpendicular to AB 
     AD is parallel to BC 

 2. < 5 and < 6 are right <‘s                2. Definition of perpendicular segments. 

 3. < 5 is congruent to < 6                  3. Right angles are congruent. 

 4. < 3 is congruent to < 4                 4. Alt. interior <‘s are congruent. 

 5. CA is congruent to CA                    5. Reflexive 

 6. Triangle ABC is congruent                 6. AAS 
    To triangle CDA

I TRIED TO DRAW THE FIGURES THE BEST I COULD! THANKS AGAIN!
 
2. Good up to the last reason.
SAS not ASA

#3 Good
 
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