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Topic 2

Topic 2 Vocabulary and Theorems

TermDefinition
Parallel Lines Coplanar lines that do not intersect.
Perpendicular Lines two straight lines joined to a common point making a 90 degree angle with each other.
Transversal A line that intersects two or more lines
Same-Side Interior Angles Two angles on the same side of the transversal and between the two lines the transversal intersects.
Alternate Interior Angles Two angles on opposite sides of the transversal and between the two lines the transversal intersects.
Corresponding Angles Two angles on the same side of the transversal, one is between the two lines the transversal intersects, and the other is outside the two lines the transversal intersects.
Alternate Exterior Angles Two angles on opposite sides of the transversal and outside the two lines the transversal intersects.
Same-Side Interior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of same-side interior angles are supplementary.
Alternate Interior Angles If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
Corresponding Angles Theorem If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Alternate Exterior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.
Converse of the Corresponding Angles Theorem If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.
Converse of the Alternate Interior Angles Theorem If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel.
Converse of the Same-Side Interior Angles Postulate If two lines are cut by a transversal so that same-side interior angles are supplementary, then the lines are parallel.
Converse of the Alternate Exterior Angles Converse Theorem If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel.
Parallel Lines Theorem If two lines are parallel to the same line, then they are parallel to each other.
Perpendicular Lines Theorem If two lines in the same plane are perpendicular to the same line, then they are parallel to each other.
Triangle Angle-Sum Theorem The sum of the measures of all the angles of a triangle is 180°
Triangle Exterior Angle Theorem The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles.
Created by: Mrs. Hynes
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