CK12 - Geometry

If , and are collinear, and , then.

Given: , and are collinear, and

Prove:

6. Is the followingstatementtrue?Explainyour answer. (A formaltwo-columnproofis not required.)

Let and be pointsin a singleplane.If is in the interiorof , and is in the

interiorof , then is in the interiorof.

Notethat this is a bit like a TransitivePropertyfor a ray in the interiorof an angle.

Answers

Statement Reason

A. ReflexivePropertyof Equality

B. Definitionof congruentangles

2.

Given:

Prove:

Statement Reason

A. Given

B. Definitionof congruentangles

C. SymmetricPropertyof Equality

D. Definitionof congruentangles

3.

Given: ;

Prove:

Statement Reason

A. and Given

B. and Definitionof congruentangles

C. TransitivePropertyof Equality

D. Definitionof congruentangles