Question 676702: Use a paragraph proof to prove the corresponding angles postulate:
Given: line AB is parallel to line CD
Prove: Corresponding angles are congruent
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Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! Theorem 3.5 If two parallel lines are intersected by a transversal, then corresponding angles are congruent.
Given: line AB is parallel to line CD
Prove: Corresponding angles are congruent
Proof:
you have already learned vertical angles are congruent and corresponding angles are
congruent if they are formed by parallel lines
using this information we can go on to prove alternate interior angles are also congruent if they are formed by parallel lines
since the lines are parallel, than
< 1 and < 3 are congruent,
< 2 and < 3 are vertical angles
you have studied a theorem that states all vertical angles are congruent, so
that means < 1 congruent to < 3 because they are corresponding angles,
and < 2 congruent to < 3 because they are vertical angles,
that means < 1 must be congruent to < 3
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