CK12 - Geometry

Statement Reason

1. Kite with and 1. Given


2. 
   
   
   
   2. ReflexivePropertyof
   
   
   
   


3. By part 1 above:The diagonalbetween
   vertexanglesbisectsthe angles

3.

4. SAS CongruencePostulate


5. 
   


6. Correspondingpartsof congruenttrian-
   gles are congruent

5.

6. and are supplementary 6. LinearPair Postulate
   7. Congruent supplementaryangles are
   right angles


7. and are right angles


8. 
   
   
   
   8. Definitionof perpendicular
   
   
   
   

OppositeAnglesin Kites

In additionto the bisectingproperty, one otherpropertyof kites is that the non-vertexanglesare congruent.

So, in the kitePARTabove,.

Example 2

Completethe two-columnproofbelow.

• Given: and


• Prove:

Statement Reason