# Geometry

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 Parallel lines Two lines that lie in the same plane and do not intersect. Perpendicular lines Two lines that intersect to form a right angle. Skew lines Two lines that do not lie in the same plane and do not intersect Parallel planes Two planes that do not intersect Transversal A line that intersects two or more coplanar lines at different points Corresponding angles Two angles formed by two lines and a transversal, and occupy corresponding positions Alternate interior angles Two angles formed by two lines and a transversal and lie between the two lines on the opposite sides of the transversal Alternate exterior angles Two angles formed by two lines and a transversal and lie outside the two lines on the opposite sides of the transversal Same-side interior angles Two angles formed by two lines and a transversal and lie between the two lines on the same side of the transversal Converse The statement formed by switching the hypothesis and the conclusion in an if-then statement Hypothesis The "if" part of an if-then statement Conclusion The "then" part of an if-then statement All right angles are ____________ congruent If two lines are perpendicular, then they intersect to form four _______ ________. right angles If two lines intersect to form adjacent congruent angles, then the lines are _____________________. perpendicular If two sides of adjacent acute angles are perpendicular, then the angles are ___________________. complementary If two parallel lines are cut by a transversal, then ______________ interior angles are congruent. alternate If two parallel lines are cut by a transversal, then _____________ exterior angles are congruent. alternate If two parallel lines are cut by a transversal, then _______________ interior angles are supplementary. same-side If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are ___________________. parallel If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are _____________________. parallel If two lines are cut by a transversal so that same-side interior angles are _________________, then the lines are parallel. supplementary If two lines are parallel to the same line, then they are _________ to each other. parallel In a plane, if two lines are perpendicular to the same line, then they are ___________ to each other. parallel Midpoint The point on a segment that divides the segment into two equal parts. Segment bisector Something that intersects a segment at it’s midpoint. Bisect To divide into two congruent parts. Angle bisector A ray that divides an angle into two equal angles. Complementary angles Two angles whose measures have a sum of 90 degrees. Supplementary angles Two angles whose measure has a sum of 180 degrees. Adjacent angles Two angles with a common vertex and side but no common interior points. Theorem A true statement that follows from other true statements. Vertical angles Two nonadjacent angles formed by two intersecting lines. Linear pair Two adjacent angles whose noncommon sides are on the same line (supplementary). If-then statements A statement with a hypothesis (if) and conclusion (then). Deductive reasoning Using facts, definitions, accepted properties to make a logical argument. Congruent complements theorem If two angles are complementary to the same angle, then they are congruent. Congruent supplements theorem If two angles are supplements to the same angle, then they are congruent. Vertical angles theorem Vertical angles are congruent. Reflexive Property A=A Symmetric Property If A=B, then B=A Transitive Property 2.1 Congruent Complements Theorem If two angles are complements to the same angle, then they are congruent. 2.2 Congruent Supplements Theorem If two angles are supplements to the same angle, then they are congruent. 2.3 Vertical Angles Theorem When two lines intersect, they form two sets of vertical angels. Vertical angles are congruent.

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