We say that two line segments and are congruent and write if and only if AB=CD. If we are talking about a line segment with endpoints A and B we denote it as.
Thus congruent would be another use of the word equal in the Common Notions. We usually use the phrase congruent when talking about geometric objects that are the same in some sense. When we are talking about two geometric objects being equal we need to use a bit more care. In this context the Common notions are straight forward. We are very familiar with the idea of equality of numbers and thus what equals means in arithmetic and algebra. The term equal in the Common Notions needs some explanation. AB=ABĬPCTC: Corresponding Parts of Congruent Triangles are Congruent AxiomsĬommon Notion 1: Things which equal the same thing also equal each other.Ĭommon Notion 2: If equals are added to equals then the wholes are equal.Ĭommon Notion 3: If equals are subtracted from equals the remainders are equal.Ĭommon Notion 4: Things which coincide with one another equal one another.Ĭommon Notion 5: The whole is greater than the part. Reflexive Property: everything is congruent to itself. Supplementary angles: two angles whose sum equals 180Ĭonjecture: a mathematical statement that isn’t proven Linear pair of angles: two angles that share a side and whose sum equals 180Ĭomplementary angles: two angles who create a right triangle Hypothesis: the if part of an “if-then” statement Lemma: a previously proven mathematical statement used to prove another mathematical statementĬorollary: a theorem that fallows another theorem Proof: a set of justified steps that validate a mathematical statement Theorem: a mathematical statement that can be proven Radius: the length from any point on the perimeter of a circle and its center.Ĭircumference: the length of the perimeter of a circle Transversal: a line that intersects two other linesĪlternate Interior/Exterior Angles: an angles corresponding vertical angle on the other parallel line when two parallel lines are intersected by a transversal lineĬircle: an infinite set of points that are equidistant from a single point Parallel Lines: two lines that never touch Perpendicular Lines: two lines that share only one point and that form four right angles Scalene Triangle: a polygon of three sides where none of the interior angles are congruent Isosceles Triangle: a polygon of three sides where two of the sides are congruent Vertical Angles: opposite angles of two lines that only share one pointĮquilateral Triangle: a polygon of three sides where all of the interior angles are congruent Obtuse Triangle: a polygon of three sides where one of the interior angles is greater than a right angle Right Triangle: a polygon of three sides that contains a right angleĪcute Triangle: a polygon of three sides where all interior angles are smaller than a right angle Obtuse Angle: an angle greater than a right angle Right Angle: an angle that is congruent to its supplementary angleĪcute Angle: an angle that is less than a right angle Then the length of the line segment PQ is the distance from P to L.Īngle: the figure formed by two rays who share a common end point The distance from a point P to a line L is defined by first finding the line that is perpendicular to L through the Point P and Q be the intersection of this line with L. Primitives: Line, Point, and Congruent, Contains or lies on, will remain undefined.
0 kommentar(er)
