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Parallel lines have the same slopes.
The product of the slopes of two perpendicular lines is -1

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where m is the slope and (x1, y1) is a point on the line

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y = mx + b
where m is the slope and b is the y intercept

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The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles

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The sum of the measures of a triangles is 180

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In a plane, if one line is perpendicular to one of two parallel lines,, then it is perpendicular to both parallel lines

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In a plane, two lines perpendicular to the same line are parallel

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Two lines parallel to the same line are parallel parallel to eachother

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-Congruent corresponding angles
-Congruent alternate interior angles
-Congruent alternate exterior angles
-Supplementary same-side interior angles
...then the two lines are parallel

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If two parallel lines are cut by a transversal, then...

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If two parallel lines are cut by a transversal, then...

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-Corresponding angles, alternate interior angles, and alternate exterior angles are congruent.
-Same side interior angles are supplementary

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Example: <5 and <4 are same side interior angles

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a line that intersects two or more co-planer lines at distinct points