CK12 - Geometry

4. Yes

Given: and

Prove:

Statement Reason

A. and Given

B. , Definitionof congruentangles

C. AdditionPropertyof Equality

D. Substitution

5.

Statement Reason

A._____Given

,and are collinear

B._____Given

C._____Definitionof congruentsegments

D._____AdditionPropertyof Equality

E._____CommutativePropertyof Equality

F._____Definitionof collinearpoints

G._____Definitioncollinearpoints

H._____SubstitutionPropertyof Equality

I._____Definitionof congruentsegments

6. True. Since is in the interiorof , Since is in

the interiorof , then. So

( )

(

is in the interiorof by the angleadditionproperty.

ProofsAboutAnglePairs

LearningObjectives

• Statetheoremsaboutspecialpairsof angles.