Geometry Regents Review Formulas Distance Formula Slope Formula Midpoint Formula Quadratic Formula Unit 1: Geometry Vocab Introduction Net: a two dimensional pattern that can be folded to form a three dimensional figure. Point: a geometric point has no length, width or thickness - think of it as a location. -CAPITAL letters only!! Line: a series of points that extend in 2 opposite directions without end. It can be names by any 2 (or more) points on the line Plane: a flat surface that extends in all directions endlessly (has no thickness). Collinear: a set of points all on the same straight line. -Any two points will be collinear!! Noncollinear: a set of 3 or more points that do not lie on the same straight line. Coplanar: points and lines in the same plane. Space: a boundless, three-dimensional set of all points. It can contain lines and planes. Parallel Lines: are coplanar lines that do not intersect. Skew Lines: they do not lie on the same plane and are neither parallel nor intersecting. Parallel Planes: are planes that do not intersect. Line Segment: is a set of points, consisting of 2 endpoints and all the points between the two endpoints. Betweenness of Points: Point M is between points P and Q if and only if P, Q, and M are collinear and PM + MQ = PQ Segment Addition: if 3 points are collinear then the segments they create can be added. Congruent Segment: segments that have the same measure. Midpoint: a point on a line segment that divides the segment into 2 congruent parts. Ray: a part of a line that consists of a point on the line (endpoints) and all the points on one side of the endpoint. Opposite Rays: two collinear rays with the same endpoint. Angle: is the set of points that is the union of two rays having the same endpoint. -Right Angle: exactly 90° -Straight Angle:exactly 180° -Acute Angle:measures between 0° and 90° -Obtuse Angle:measures between 90° and 180° Congruent Angles: angles that have the same measure.
Angle Bisector: a ray whose endpoint is the vertex of the angle that it divides the angle into 2 congruent angles. Adjacent Angles: two angles in the same plane that have a common vertex and a common side but do not have any interior points in common. -Cannot overlap!! Complementary Angles: two angles who sum is 90° Supplementary Angles: two angles who sum is 180° Linear Pairs: adjacent angles whose sum is a straight angle. Theorem: Linear pairs are supplementary Vertical Angles: two angles whose sides are opposite rays. Theorem: Vertical angles are congruent Perpendicular Lines: two lines that intersect to form right angles. Perpendicular Bisector: is a line, a line segment, or a ray that is perpendicular to the line segment and bisects the line segment. Unit 2: Reasoning and Proof Postulates or Axioms: statement whose truth is assumed without any proof.