angle relationship proofs. linear pair postulate angles which form linear pairs are supplementary
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Angle Relationship Proofs
Linear Pair Postulate
Angles which form linear pairs are supplementary.
Linear Pair Postulate
Vertical Angle Theorem
Vertical angles are congruent:
Vertical Angle Theorem
Vertical angles are congruent:
Vertical Angle Theorem Proof
Given: Angles 1 and 2, and angles 2 and 3, are linear pairs.
Prove: Angles 1 and 3 are congruent.
Vertical Angle Theorem Proof
Statements Reasons
Given
Linear Pair Postulate
Linear Pair Postulate
Substitution
Def. of Congruence
Corresponding Angle Postulate
If two lines crossed by a transversal are parallel, their corresponding angles are congruent.
Corresponding Angle Postulate
Other theorems
Using the Linear Pair Postulate and the Corresponding Angles Postulate, we can prove…
Other theorems
Alt. Ext. Angles are Congruent
Alt. Int. Angles are Congruent
Other theorems
Same Side Ext. Angles are Supplementary
Same Side Int. Angles are Supplementary
Corresponding Angle Postulate
If two lines crossed by a transversal are parallel, their corresponding angles are congruent.
Converse of Corresponding Angles Postulate
If two lines crossed by a transversal have congruent corresponding angles, they are parallel.