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Example Problem (Same Side Interior Angles)

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Example Problem (Same Side Interior Angles)

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Converses are used to prove lines parallel.
Converse of AIA Theorem: If two lines and a transversal form congruent AIA, then the lines are parallel.
Converse of AEA Theorem: If two lines and a transversal form congruent AEA, then the lines are parallel.
Converse of SSIA Theorem: If two lines and a transversal form congruent AEA, then the lines are parallel.
Converse of Corresponding angles Theorem: If two lines and a transversal form congruent corresponding angles, then the lines are parallel.

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If a transversal intersects two parallel lines, SSIA add to 180 degrees.

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If a transversal intersects two parallel lines, corresponding angles are congruent.

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If a transversal intersects two parallel lines, AEA are congruent.

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If a transversal intersects two parallel lines, AIA are congruent.

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Parallel lines: Identical slopes
Perpendicular lines: Opposite reciprocal slopes (ex. 1/3 and -3)
Vertical lines: undefined (ex. x= -2)
Horizontal lines: 0 (ex. y= -2)