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What is the relationship between corresponding angles if parallel lines are cut by a transversal 

_ Linear pair

_Congruent

_Supplementary

_Complemantary

User Cbrdy
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1 vote

Answer:

(b) _Congruent

Explanation:

You want to know the relationship between corresponding angles where a transversal crosses parallel lines.

Corresponding angles

The Corresponding Angles theorem tells you that corresponding angles at a transversal are congruent if and only if the lines are parallel.

Corresponding angles are congruent.

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Additional comment

This fact is the basis for the simplest method of constructing a line parallel to a given line through an external point. (A transversal is drawn, and the angle is copied, making congruent corresponding angles.)

All of the other angle relationships at a transversal can be derived from this one using the usual relationships of linear pairs and vertical angles.

User Colin Steel
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