CK-12 Geometry - Second Edition

4.3. Triangle Congruence using SSS and SAS http://www.ck12.org

16.Given:AB∼=DC,AC∼=DBProve: 4 ABC∼= 4 DCB

TABLE4.8:

Statement Reason

1. 
   
   
   
   1. 
      
   
   
   
   


2. 
   
   
   
   2. Reflexive PoC
   
   
   
   


3. 4 ABC∼= 4 DCB 3.

17.Given:Bis a midpoint ofDCAB⊥DCProve: 4 ABD∼= 4 ABC

TABLE4.9:

Statement Reason

1.Bis a midpoint ofDC,AB⊥DC 1.

2. 
   
   
   
   2. Definition of a midpoint
      3.^6 ABDand^6 ABCare right angles 3.
   
   
   
   


3. 
   
   
   
   4. All right angles are∼=
   
   
   
   


4. 
   
   
   
   5. 
      
   
   
   
   


5. 4 ABD∼= 4 ABC 6.

Write a two-column proof for the given information below.

18.Given:ABis an angle bisector of^6 DACAD∼=ACProve: 4 ABD∼= 4 ABC

19.Given:Bis the midpoint ofDCAD∼=ACProve: 4 ABD∼= 4 ABC