Flashcards › Geometry Final part 1

can only be explained with examples undefined terms a dot that represents a locatian point collection of points that represent a location line points on the same line colinear flat surface made up of points plane points on the same plane coplanar a boundless 3 dimensional set of all points space set of points that satisfy a particular condition locus part of a line that has two endpoints line segment smallest unit of measurement on a measuring tool precision center midpoint intersects at midpoint segment bisector how we measure an angle degree part of a line with one endpoint ray share one endpoint, but goes in opposite directions opposite rays two rays that share an endpoint angle the rays that form the angle sides corner of the angle. endpoint shared by the sides vertex inside the angle interior outside the angle exterior 90 degrees right angle between 0 and 90 degrees acute angle between 90 and 180 degrees obtuse angle ray that cuts the angle in half angle bisector side by side, share a vertex adjacent across from the vertex from each other verticle angles adjacent pairs that form a straight line linear pair add up to give you 90 degrees complimentary angles add up to give you 180 degrees supplementary angles lines that cross and give you 90 degree angles perpendicular closed shape with sides and vertices polygon if the lines drawn to make the sides of the polygons are extended and the lines pass through the interior concave if the lines drawn to make the sides of the polygons are extended and the lines do not pass through the interior convex a polygon with n number of sides N-gon all sides and angles are congruent regular polygon sum of the sides of the polygon perimeter distance (perimeter) around the circle circumference amount of space covered by a polygon area solid with all flat surfaces that enclose a single region of space polyhedron line segments where faces intersect edges flat surface face polyhedron with two parallel congruent sides prism bottom (and top) of a prism bases intersection of three edges vertex regular polygons for bases regular prism all the faces intersect at one point pyramid all the faces are regular congruent polygons and all the edges are congruent regular polyhedron five regualr polyhedra described by Plato platonic solids solid with congruent circular bases cylinder circular base with a vertex cone set of points in space that are a given distance from a given point sphere sum of the areas of the sides surface area measure of the amount of space the solid encloses volume educated guess conjecture reasoning that uses examples to come up with a prediction inductive reasoning false example counter example sentence that is either true or false, but not both statement the truth or falsehood of a statement truth value statement of the opposite meaning as well as an opposite truth value negation two or more statements joined together compound statement compound statement formed by joining statements with and conjunction compound statement formed by joining statements with or disjunction convenient way of organizing truth statements truth table statement written in if-then form conditional statement if the first thing happens then the second thing will if-then statement what you think will happen (If) hypothesis what will happen (Then) conclusion statement based on given conditional statements related conditionals opposites of both parts of the conditional statement inverse opposites of both parts of the converse contrapositive exchanges the hypothesis with the conclusion converse both have the same truth value logically equivalent uses facts to come up with an answer deductive reasoning draws conclusions from true conditional statements law of detachment transitive property law of syllogism statement that is accepted as true postulate statement or conjecture that has been proven true theorem logical argument in which each statement is supported by postulates and theorem proof written explanation of the given situation paragraph proof statements and reasons are listed in two columns two column proof using steps to solve problems deductive argument lines that have the same slope and never intersect parallel lines planes that have the same slope and never intersect parallel planes lines that do not intersect but are not on the same plane skew lines line that intersects two or more parallel lines transversal two angles on the inside of the two parallel that are on the same side of the transversal consecutive interior angles two angles on the outside of the two parallel lines but on opposite sides of the transversal alternate exterior angles two angles on the inside of the parallel lines, but on opposite sides of the transversal alternate interior angles angles that are in the exact same location on similar graphs corresponding angles tilt of the line slope amount that the slope changes over time rate of change a way to write and equation using the slope and the y intercept slope intercept form a way to write an equation using the slope and a point on the line point slope form the same distance equidistant all angles less than 90 degrees acute triangle the slanted line that connects two nonconsecutive (not in a row) vertices (corners) diagonal quadrilateral with four right angles and the opposite sides are congruent rectangle quadrilateral with all sides and all angles congruent (equal) rhombus Vocabulary